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Finding the Fourth Proportional to 8,657.72, 12,988.31 and 2,419.52

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Solution

The fourth proportional to 8,657.72, 12,988.31 and 2,419.52 is: 3,629.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.72 : 12,988.31 = 2,419.52 : x
  2. Step 2: Convert to fraction form
    8,657.72/12,988.31 = 2,419.52/x
  3. Step 3: Cross multiply
    8,657.72x = 12,988.31 × 2,419.52
  4. Step 4: Simplify right side
    8,657.72x = 31,425,475.81
  5. Step 5: Solve for x
    x = 31,425,475.81/8,657.72
  6. Step 6: Final answer
    x = 3,629.76

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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.