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Finding the Fourth Proportional to 7,804.25, 11,706.10 and 3,421.74

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Solution

The fourth proportional to 7,804.25, 11,706.10 and 3,421.74 is: 5,132.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.25 : 11,706.10 = 3,421.74 : x
  2. Step 2: Convert to fraction form
    7,804.25/11,706.10 = 3,421.74/x
  3. Step 3: Cross multiply
    7,804.25x = 11,706.10 × 3,421.74
  4. Step 4: Simplify right side
    7,804.25x = 40,055,213.51
  5. Step 5: Solve for x
    x = 40,055,213.51/7,804.25
  6. Step 6: Final answer
    x = 5,132.49

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.