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Finding the Fourth Proportional to 6,492.96, 9,728.28 and 5,115.12

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Solution

The fourth proportional to 6,492.96, 9,728.28 and 5,115.12 is: 7,663.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.96 : 9,728.28 = 5,115.12 : x
  2. Step 2: Convert to fraction form
    6,492.96/9,728.28 = 5,115.12/x
  3. Step 3: Cross multiply
    6,492.96x = 9,728.28 × 5,115.12
  4. Step 4: Simplify right side
    6,492.96x = 49,761,319.59
  5. Step 5: Solve for x
    x = 49,761,319.59/6,492.96
  6. Step 6: Final answer
    x = 7,663.89

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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.