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Finding the Fourth Proportional to 10,065.66, 15,100.86 and 9,898.31

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Solution

The fourth proportional to 10,065.66, 15,100.86 and 9,898.31 is: 14,849.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.66 : 15,100.86 = 9,898.31 : x
  2. Step 2: Convert to fraction form
    10,065.66/15,100.86 = 9,898.31/x
  3. Step 3: Cross multiply
    10,065.66x = 15,100.86 × 9,898.31
  4. Step 4: Simplify right side
    10,065.66x = 149,472,868.55
  5. Step 5: Solve for x
    x = 149,472,868.55/10,065.66
  6. Step 6: Final answer
    x = 14,849.78

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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.