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Finding the Fourth Proportional to 10,772.70, 16,159.05 and 9,476.70

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Solution

The fourth proportional to 10,772.70, 16,159.05 and 9,476.70 is: 14,215.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.70 : 16,159.05 = 9,476.70 : x
  2. Step 2: Convert to fraction form
    10,772.70/16,159.05 = 9,476.70/x
  3. Step 3: Cross multiply
    10,772.70x = 16,159.05 × 9,476.70
  4. Step 4: Simplify right side
    10,772.70x = 153,134,469.14
  5. Step 5: Solve for x
    x = 153,134,469.14/10,772.70
  6. Step 6: Final answer
    x = 14,215.05

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Similar ratio
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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.