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Finding the Fourth Proportional to 15,142.66, 20,896.71 and 8,428.17

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Solution

The fourth proportional to 15,142.66, 20,896.71 and 8,428.17 is: 11,630.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.66 : 20,896.71 = 8,428.17 : x
  2. Step 2: Convert to fraction form
    15,142.66/20,896.71 = 8,428.17/x
  3. Step 3: Cross multiply
    15,142.66x = 20,896.71 × 8,428.17
  4. Step 4: Simplify right side
    15,142.66x = 176,121,071.08
  5. Step 5: Solve for x
    x = 176,121,071.08/15,142.66
  6. Step 6: Final answer
    x = 11,630.79

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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.