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Finding the Fourth Proportional to 30,439.92, 45,660 and 9,379.80

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Solution

The fourth proportional to 30,439.92, 45,660 and 9,379.80 is: 14,069.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,439.92 : 45,660 = 9,379.80 : x
  2. Step 2: Convert to fraction form
    30,439.92/45,660 = 9,379.80/x
  3. Step 3: Cross multiply
    30,439.92x = 45,660 × 9,379.80
  4. Step 4: Simplify right side
    30,439.92x = 428,281,668.00
  5. Step 5: Solve for x
    x = 428,281,668.00/30,439.92
  6. Step 6: Final answer
    x = 14,069.74

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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.