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Finding the Fourth Proportional to 10,687.70, 14,743.65 and 7,151.06

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Solution

The fourth proportional to 10,687.70, 14,743.65 and 7,151.06 is: 9,864.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.70 : 14,743.65 = 7,151.06 : x
  2. Step 2: Convert to fraction form
    10,687.70/14,743.65 = 7,151.06/x
  3. Step 3: Cross multiply
    10,687.70x = 14,743.65 × 7,151.06
  4. Step 4: Simplify right side
    10,687.70x = 105,432,725.77
  5. Step 5: Solve for x
    x = 105,432,725.77/10,687.70
  6. Step 6: Final answer
    x = 9,864.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.