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Finding the Fourth Proportional to 15,978.32, 23,957.84 and 6,118.32

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Solution

The fourth proportional to 15,978.32, 23,957.84 and 6,118.32 is: 9,173.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.32 : 23,957.84 = 6,118.32 : x
  2. Step 2: Convert to fraction form
    15,978.32/23,957.84 = 6,118.32/x
  3. Step 3: Cross multiply
    15,978.32x = 23,957.84 × 6,118.32
  4. Step 4: Simplify right side
    15,978.32x = 146,581,731.63
  5. Step 5: Solve for x
    x = 146,581,731.63/15,978.32
  6. Step 6: Final answer
    x = 9,173.79

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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.