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Finding the Fourth Proportional to 28,303.70, 42,454.20 and 9,581.90

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Solution

The fourth proportional to 28,303.70, 42,454.20 and 9,581.90 is: 14,372.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,303.70 : 42,454.20 = 9,581.90 : x
  2. Step 2: Convert to fraction form
    28,303.70/42,454.20 = 9,581.90/x
  3. Step 3: Cross multiply
    28,303.70x = 42,454.20 × 9,581.90
  4. Step 4: Simplify right side
    28,303.70x = 406,791,898.98
  5. Step 5: Solve for x
    x = 406,791,898.98/28,303.70
  6. Step 6: Final answer
    x = 14,372.39

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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.