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Finding the Fourth Proportional to 28,539.98, 42,799.32 and 9,814.71

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Solution

The fourth proportional to 28,539.98, 42,799.32 and 9,814.71 is: 14,718.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,539.98 : 42,799.32 = 9,814.71 : x
  2. Step 2: Convert to fraction form
    28,539.98/42,799.32 = 9,814.71/x
  3. Step 3: Cross multiply
    28,539.98x = 42,799.32 × 9,814.71
  4. Step 4: Simplify right side
    28,539.98x = 420,062,864.92
  5. Step 5: Solve for x
    x = 420,062,864.92/28,539.98
  6. Step 6: Final answer
    x = 14,718.40

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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.