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Finding the Fourth Proportional to 8,614.02, 12,920.76 and 2,458.02

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Solution

The fourth proportional to 8,614.02, 12,920.76 and 2,458.02 is: 3,686.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.02 : 12,920.76 = 2,458.02 : x
  2. Step 2: Convert to fraction form
    8,614.02/12,920.76 = 2,458.02/x
  3. Step 3: Cross multiply
    8,614.02x = 12,920.76 × 2,458.02
  4. Step 4: Simplify right side
    8,614.02x = 31,759,486.50
  5. Step 5: Solve for x
    x = 31,759,486.50/8,614.02
  6. Step 6: Final answer
    x = 3,686.95

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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.