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Finding the Fourth Proportional to 26,691.80, 40,038.54 and 9,161.40

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Solution

The fourth proportional to 26,691.80, 40,038.54 and 9,161.40 is: 13,742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,691.80 : 40,038.54 = 9,161.40 : x
  2. Step 2: Convert to fraction form
    26,691.80/40,038.54 = 9,161.40/x
  3. Step 3: Cross multiply
    26,691.80x = 40,038.54 × 9,161.40
  4. Step 4: Simplify right side
    26,691.80x = 366,809,080.36
  5. Step 5: Solve for x
    x = 366,809,080.36/26,691.80
  6. Step 6: Final answer
    x = 13,742.39

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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.