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Finding the Fourth Proportional to 30,874, 46,310.96 and 7,500.40

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Solution

The fourth proportional to 30,874, 46,310.96 and 7,500.40 is: 11,250.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,874 : 46,310.96 = 7,500.40 : x
  2. Step 2: Convert to fraction form
    30,874/46,310.96 = 7,500.40/x
  3. Step 3: Cross multiply
    30,874x = 46,310.96 × 7,500.40
  4. Step 4: Simplify right side
    30,874x = 347,350,724.38
  5. Step 5: Solve for x
    x = 347,350,724.38/30,874
  6. Step 6: Final answer
    x = 11,250.59

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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.