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Finding the Fourth Proportional to 8,634.57, 12,934.92 and 4,477.30

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Solution

The fourth proportional to 8,634.57, 12,934.92 and 4,477.30 is: 6,707.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634.57 : 12,934.92 = 4,477.30 : x
  2. Step 2: Convert to fraction form
    8,634.57/12,934.92 = 4,477.30/x
  3. Step 3: Cross multiply
    8,634.57x = 12,934.92 × 4,477.30
  4. Step 4: Simplify right side
    8,634.57x = 57,913,500.37
  5. Step 5: Solve for x
    x = 57,913,500.37/8,634.57
  6. Step 6: Final answer
    x = 6,707.16

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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.