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Finding the Fourth Proportional to 15,978.68, 23,969.76 and 6,126.32

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Solution

The fourth proportional to 15,978.68, 23,969.76 and 6,126.32 is: 9,190.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.68 : 23,969.76 = 6,126.32 : x
  2. Step 2: Convert to fraction form
    15,978.68/23,969.76 = 6,126.32/x
  3. Step 3: Cross multiply
    15,978.68x = 23,969.76 × 6,126.32
  4. Step 4: Simplify right side
    15,978.68x = 146,846,420.08
  5. Step 5: Solve for x
    x = 146,846,420.08/15,978.68
  6. Step 6: Final answer
    x = 9,190.15

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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.