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Finding the Fourth Proportional to 28,125.61, 42,194.49 and 8,405.76

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Solution

The fourth proportional to 28,125.61, 42,194.49 and 8,405.76 is: 12,610.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,125.61 : 42,194.49 = 8,405.76 : x
  2. Step 2: Convert to fraction form
    28,125.61/42,194.49 = 8,405.76/x
  3. Step 3: Cross multiply
    28,125.61x = 42,194.49 × 8,405.76
  4. Step 4: Simplify right side
    28,125.61x = 354,676,545.29
  5. Step 5: Solve for x
    x = 354,676,545.29/28,125.61
  6. Step 6: Final answer
    x = 12,610.45

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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.