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Finding the Fourth Proportional to 15,978.06, 22,032.41 and 10,876.88

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Solution

The fourth proportional to 15,978.06, 22,032.41 and 10,876.88 is: 14,998.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.06 : 22,032.41 = 10,876.88 : x
  2. Step 2: Convert to fraction form
    15,978.06/22,032.41 = 10,876.88/x
  3. Step 3: Cross multiply
    15,978.06x = 22,032.41 × 10,876.88
  4. Step 4: Simplify right side
    15,978.06x = 239,643,715.13
  5. Step 5: Solve for x
    x = 239,643,715.13/15,978.06
  6. Step 6: Final answer
    x = 14,998.30

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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.