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Finding the Fourth Proportional to 15,319, 22,978.32 and 7,937.92

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Solution

The fourth proportional to 15,319, 22,978.32 and 7,937.92 is: 11,906.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,319 : 22,978.32 = 7,937.92 : x
  2. Step 2: Convert to fraction form
    15,319/22,978.32 = 7,937.92/x
  3. Step 3: Cross multiply
    15,319x = 22,978.32 × 7,937.92
  4. Step 4: Simplify right side
    15,319x = 182,400,065.89
  5. Step 5: Solve for x
    x = 182,400,065.89/15,319
  6. Step 6: Final answer
    x = 11,906.79

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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.