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Finding the Fourth Proportional to 12,371.10, 18,565.86 and 7,697.90

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Solution

The fourth proportional to 12,371.10, 18,565.86 and 7,697.90 is: 11,552.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,371.10 : 18,565.86 = 7,697.90 : x
  2. Step 2: Convert to fraction form
    12,371.10/18,565.86 = 7,697.90/x
  3. Step 3: Cross multiply
    12,371.10x = 18,565.86 × 7,697.90
  4. Step 4: Simplify right side
    12,371.10x = 142,918,133.69
  5. Step 5: Solve for x
    x = 142,918,133.69/12,371.10
  6. Step 6: Final answer
    x = 11,552.58

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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.