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Finding the Fourth Proportional to 10,689.76, 16,020.06 and 6,531.22

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Solution

The fourth proportional to 10,689.76, 16,020.06 and 6,531.22 is: 9,787.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.76 : 16,020.06 = 6,531.22 : x
  2. Step 2: Convert to fraction form
    10,689.76/16,020.06 = 6,531.22/x
  3. Step 3: Cross multiply
    10,689.76x = 16,020.06 × 6,531.22
  4. Step 4: Simplify right side
    10,689.76x = 104,630,536.27
  5. Step 5: Solve for x
    x = 104,630,536.27/10,689.76
  6. Step 6: Final answer
    x = 9,787.92

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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.