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Finding the Fourth Proportional to 8,614.68, 12,924 and 2,458.68

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Solution

The fourth proportional to 8,614.68, 12,924 and 2,458.68 is: 3,688.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.68 : 12,924 = 2,458.68 : x
  2. Step 2: Convert to fraction form
    8,614.68/12,924 = 2,458.68/x
  3. Step 3: Cross multiply
    8,614.68x = 12,924 × 2,458.68
  4. Step 4: Simplify right side
    8,614.68x = 31,775,980.32
  5. Step 5: Solve for x
    x = 31,775,980.32/8,614.68
  6. Step 6: Final answer
    x = 3,688.59

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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.