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Finding the Fourth Proportional to 15,978.49, 23,969.50 and 4,292.62

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Solution

The fourth proportional to 15,978.49, 23,969.50 and 4,292.62 is: 6,439.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.49 : 23,969.50 = 4,292.62 : x
  2. Step 2: Convert to fraction form
    15,978.49/23,969.50 = 4,292.62/x
  3. Step 3: Cross multiply
    15,978.49x = 23,969.50 × 4,292.62
  4. Step 4: Simplify right side
    15,978.49x = 102,891,884.43
  5. Step 5: Solve for x
    x = 102,891,884.43/15,978.49
  6. Step 6: Final answer
    x = 6,439.40

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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.