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Finding the Fourth Proportional to 8,447.76, 12,658.41 and 4,929.05

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Solution

The fourth proportional to 8,447.76, 12,658.41 and 4,929.05 is: 7,385.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.76 : 12,658.41 = 4,929.05 : x
  2. Step 2: Convert to fraction form
    8,447.76/12,658.41 = 4,929.05/x
  3. Step 3: Cross multiply
    8,447.76x = 12,658.41 × 4,929.05
  4. Step 4: Simplify right side
    8,447.76x = 62,393,967.46
  5. Step 5: Solve for x
    x = 62,393,967.46/8,447.76
  6. Step 6: Final answer
    x = 7,385.86

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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.