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Finding the Fourth Proportional to 7,804.38, 10,771.10 and 4,402.09

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Solution

The fourth proportional to 7,804.38, 10,771.10 and 4,402.09 is: 6,075.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.38 : 10,771.10 = 4,402.09 : x
  2. Step 2: Convert to fraction form
    7,804.38/10,771.10 = 4,402.09/x
  3. Step 3: Cross multiply
    7,804.38x = 10,771.10 × 4,402.09
  4. Step 4: Simplify right side
    7,804.38x = 47,415,332.36
  5. Step 5: Solve for x
    x = 47,415,332.36/7,804.38
  6. Step 6: Final answer
    x = 6,075.48

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.