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Finding the Fourth Proportional to 26,657.64, 39,942.68 and 9,117.90

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Solution

The fourth proportional to 26,657.64, 39,942.68 and 9,117.90 is: 13,661.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,657.64 : 39,942.68 = 9,117.90 : x
  2. Step 2: Convert to fraction form
    26,657.64/39,942.68 = 9,117.90/x
  3. Step 3: Cross multiply
    26,657.64x = 39,942.68 × 9,117.90
  4. Step 4: Simplify right side
    26,657.64x = 364,193,316.38
  5. Step 5: Solve for x
    x = 364,193,316.38/26,657.64
  6. Step 6: Final answer
    x = 13,661.87

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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.