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Finding the Fourth Proportional to 10,689.92, 16,073.88 and 9,834.56

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Solution

The fourth proportional to 10,689.92, 16,073.88 and 9,834.56 is: 14,787.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.92 : 16,073.88 = 9,834.56 : x
  2. Step 2: Convert to fraction form
    10,689.92/16,073.88 = 9,834.56/x
  3. Step 3: Cross multiply
    10,689.92x = 16,073.88 × 9,834.56
  4. Step 4: Simplify right side
    10,689.92x = 158,079,537.29
  5. Step 5: Solve for x
    x = 158,079,537.29/10,689.92
  6. Step 6: Final answer
    x = 14,787.72

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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.