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Finding the Fourth Proportional to 7,809.84, 10,777.20 and 4,272.96

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Solution

The fourth proportional to 7,809.84, 10,777.20 and 4,272.96 is: 5,896.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.84 : 10,777.20 = 4,272.96 : x
  2. Step 2: Convert to fraction form
    7,809.84/10,777.20 = 4,272.96/x
  3. Step 3: Cross multiply
    7,809.84x = 10,777.20 × 4,272.96
  4. Step 4: Simplify right side
    7,809.84x = 46,050,544.51
  5. Step 5: Solve for x
    x = 46,050,544.51/7,809.84
  6. Step 6: Final answer
    x = 5,896.48

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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.