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Finding the Fourth Proportional to 30,433.90, 45,655.17 and 9,375.65

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Solution

The fourth proportional to 30,433.90, 45,655.17 and 9,375.65 is: 14,064.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,433.90 : 45,655.17 = 9,375.65 : x
  2. Step 2: Convert to fraction form
    30,433.90/45,655.17 = 9,375.65/x
  3. Step 3: Cross multiply
    30,433.90x = 45,655.17 × 9,375.65
  4. Step 4: Simplify right side
    30,433.90x = 428,046,828.75
  5. Step 5: Solve for x
    x = 428,046,828.75/30,433.90
  6. Step 6: Final answer
    x = 14,064.80

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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.