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Finding the Fourth Proportional to 11,842.64, 16,344.24 and 7,129.52

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Solution

The fourth proportional to 11,842.64, 16,344.24 and 7,129.52 is: 9,839.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.64 : 16,344.24 = 7,129.52 : x
  2. Step 2: Convert to fraction form
    11,842.64/16,344.24 = 7,129.52/x
  3. Step 3: Cross multiply
    11,842.64x = 16,344.24 × 7,129.52
  4. Step 4: Simplify right side
    11,842.64x = 116,526,585.96
  5. Step 5: Solve for x
    x = 116,526,585.96/11,842.64
  6. Step 6: Final answer
    x = 9,839.58

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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.