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Finding the Fourth Proportional to 11,507.87, 17,177.79 and 9,874.91

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Solution

The fourth proportional to 11,507.87, 17,177.79 and 9,874.91 is: 14,740.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.87 : 17,177.79 = 9,874.91 : x
  2. Step 2: Convert to fraction form
    11,507.87/17,177.79 = 9,874.91/x
  3. Step 3: Cross multiply
    11,507.87x = 17,177.79 × 9,874.91
  4. Step 4: Simplify right side
    11,507.87x = 169,629,108.78
  5. Step 5: Solve for x
    x = 169,629,108.78/11,507.87
  6. Step 6: Final answer
    x = 14,740.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.