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Finding the Fourth Proportional to 26,690.80, 40,037 and 9,160.36

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Solution

The fourth proportional to 26,690.80, 40,037 and 9,160.36 is: 13,740.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,690.80 : 40,037 = 9,160.36 : x
  2. Step 2: Convert to fraction form
    26,690.80/40,037 = 9,160.36/x
  3. Step 3: Cross multiply
    26,690.80x = 40,037 × 9,160.36
  4. Step 4: Simplify right side
    26,690.80x = 366,753,333.32
  5. Step 5: Solve for x
    x = 366,753,333.32/26,690.80
  6. Step 6: Final answer
    x = 13,740.81

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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.