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Finding the Fourth Proportional to 15,978.69, 23,969.19 and 6,486.45

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Solution

The fourth proportional to 15,978.69, 23,969.19 and 6,486.45 is: 9,730.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.69 : 23,969.19 = 6,486.45 : x
  2. Step 2: Convert to fraction form
    15,978.69/23,969.19 = 6,486.45/x
  3. Step 3: Cross multiply
    15,978.69x = 23,969.19 × 6,486.45
  4. Step 4: Simplify right side
    15,978.69x = 155,474,952.48
  5. Step 5: Solve for x
    x = 155,474,952.48/15,978.69
  6. Step 6: Final answer
    x = 9,730.14

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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.