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Finding the Fourth Proportional to 22,978.89, 34,438.53 and 10,319.30

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Solution

The fourth proportional to 22,978.89, 34,438.53 and 10,319.30 is: 15,465.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,978.89 : 34,438.53 = 10,319.30 : x
  2. Step 2: Convert to fraction form
    22,978.89/34,438.53 = 10,319.30/x
  3. Step 3: Cross multiply
    22,978.89x = 34,438.53 × 10,319.30
  4. Step 4: Simplify right side
    22,978.89x = 355,381,350.44
  5. Step 5: Solve for x
    x = 355,381,350.44/22,978.89
  6. Step 6: Final answer
    x = 15,465.56

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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.