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Finding the Fourth Proportional to 19,524, 29,282.76 and 8,436.72

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Solution

The fourth proportional to 19,524, 29,282.76 and 8,436.72 is: 12,653.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,524 : 29,282.76 = 8,436.72 : x
  2. Step 2: Convert to fraction form
    19,524/29,282.76 = 8,436.72/x
  3. Step 3: Cross multiply
    19,524x = 29,282.76 × 8,436.72
  4. Step 4: Simplify right side
    19,524x = 247,050,446.95
  5. Step 5: Solve for x
    x = 247,050,446.95/19,524
  6. Step 6: Final answer
    x = 12,653.68

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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.