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Finding the Fourth Proportional to 15,375, 23,062.50 and 4,431

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Solution

The fourth proportional to 15,375, 23,062.50 and 4,431 is: 6,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,375 : 23,062.50 = 4,431 : x
  2. Step 2: Convert to fraction form
    15,375/23,062.50 = 4,431/x
  3. Step 3: Cross multiply
    15,375x = 23,062.50 × 4,431
  4. Step 4: Simplify right side
    15,375x = 102,189,937.50
  5. Step 5: Solve for x
    x = 102,189,937.50/15,375
  6. Step 6: Final answer
    x = 6,646.50

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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.