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Finding the Fourth Proportional to 28,543.62, 42,819.54 and 8,823.90

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Solution

The fourth proportional to 28,543.62, 42,819.54 and 8,823.90 is: 13,237.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,543.62 : 42,819.54 = 8,823.90 : x
  2. Step 2: Convert to fraction form
    28,543.62/42,819.54 = 8,823.90/x
  3. Step 3: Cross multiply
    28,543.62x = 42,819.54 × 8,823.90
  4. Step 4: Simplify right side
    28,543.62x = 377,835,339.01
  5. Step 5: Solve for x
    x = 377,835,339.01/28,543.62
  6. Step 6: Final answer
    x = 13,237.12

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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.