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Finding the Fourth Proportional to 15,978.24, 22,049.36 and 8,904.32

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Solution

The fourth proportional to 15,978.24, 22,049.36 and 8,904.32 is: 12,287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.24 : 22,049.36 = 8,904.32 : x
  2. Step 2: Convert to fraction form
    15,978.24/22,049.36 = 8,904.32/x
  3. Step 3: Cross multiply
    15,978.24x = 22,049.36 × 8,904.32
  4. Step 4: Simplify right side
    15,978.24x = 196,334,557.24
  5. Step 5: Solve for x
    x = 196,334,557.24/15,978.24
  6. Step 6: Final answer
    x = 12,287.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.