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Finding the Fourth Proportional to 9,701.40, 14,569.70 and 8,491.80

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Solution

The fourth proportional to 9,701.40, 14,569.70 and 8,491.80 is: 12,753.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.40 : 14,569.70 = 8,491.80 : x
  2. Step 2: Convert to fraction form
    9,701.40/14,569.70 = 8,491.80/x
  3. Step 3: Cross multiply
    9,701.40x = 14,569.70 × 8,491.80
  4. Step 4: Simplify right side
    9,701.40x = 123,722,978.46
  5. Step 5: Solve for x
    x = 123,722,978.46/9,701.40
  6. Step 6: Final answer
    x = 12,753.11

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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.