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Finding the Fourth Proportional to 10,972.90, 16,422.90 and 9,660.70

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Solution

The fourth proportional to 10,972.90, 16,422.90 and 9,660.70 is: 14,458.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972.90 : 16,422.90 = 9,660.70 : x
  2. Step 2: Convert to fraction form
    10,972.90/16,422.90 = 9,660.70/x
  3. Step 3: Cross multiply
    10,972.90x = 16,422.90 × 9,660.70
  4. Step 4: Simplify right side
    10,972.90x = 158,656,710.03
  5. Step 5: Solve for x
    x = 158,656,710.03/10,972.90
  6. Step 6: Final answer
    x = 14,458.96

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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.