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Finding the Fourth Proportional to 10,466.28, 15,689.70 and 8,502.84

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Solution

The fourth proportional to 10,466.28, 15,689.70 and 8,502.84 is: 12,746.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.28 : 15,689.70 = 8,502.84 : x
  2. Step 2: Convert to fraction form
    10,466.28/15,689.70 = 8,502.84/x
  3. Step 3: Cross multiply
    10,466.28x = 15,689.70 × 8,502.84
  4. Step 4: Simplify right side
    10,466.28x = 133,407,008.75
  5. Step 5: Solve for x
    x = 133,407,008.75/10,466.28
  6. Step 6: Final answer
    x = 12,746.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.