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Finding the Fourth Proportional to 15,985.54, 23,978.31 and 4,299.94

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Solution

The fourth proportional to 15,985.54, 23,978.31 and 4,299.94 is: 6,449.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,985.54 : 23,978.31 = 4,299.94 : x
  2. Step 2: Convert to fraction form
    15,985.54/23,978.31 = 4,299.94/x
  3. Step 3: Cross multiply
    15,985.54x = 23,978.31 × 4,299.94
  4. Step 4: Simplify right side
    15,985.54x = 103,105,294.30
  5. Step 5: Solve for x
    x = 103,105,294.30/15,985.54
  6. Step 6: Final answer
    x = 6,449.91

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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.