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Finding the Fourth Proportional to 28,634.35, 42,941.24 and 9,909.30

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Solution

The fourth proportional to 28,634.35, 42,941.24 and 9,909.30 is: 14,860.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,634.35 : 42,941.24 = 9,909.30 : x
  2. Step 2: Convert to fraction form
    28,634.35/42,941.24 = 9,909.30/x
  3. Step 3: Cross multiply
    28,634.35x = 42,941.24 × 9,909.30
  4. Step 4: Simplify right side
    28,634.35x = 425,517,750.31
  5. Step 5: Solve for x
    x = 425,517,750.31/28,634.35
  6. Step 6: Final answer
    x = 14,860.39

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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.