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Finding the Fourth Proportional to 29,416.88, 44,128.56 and 8,642

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Solution

The fourth proportional to 29,416.88, 44,128.56 and 8,642 is: 12,963.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,416.88 : 44,128.56 = 8,642 : x
  2. Step 2: Convert to fraction form
    29,416.88/44,128.56 = 8,642/x
  3. Step 3: Cross multiply
    29,416.88x = 44,128.56 × 8,642
  4. Step 4: Simplify right side
    29,416.88x = 381,359,015.52
  5. Step 5: Solve for x
    x = 381,359,015.52/29,416.88
  6. Step 6: Final answer
    x = 12,963.95

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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.