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Finding the Fourth Proportional to 15,978.48, 23,967.70 and 4,291.69

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Solution

The fourth proportional to 15,978.48, 23,967.70 and 4,291.69 is: 6,437.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.48 : 23,967.70 = 4,291.69 : x
  2. Step 2: Convert to fraction form
    15,978.48/23,967.70 = 4,291.69/x
  3. Step 3: Cross multiply
    15,978.48x = 23,967.70 × 4,291.69
  4. Step 4: Simplify right side
    15,978.48x = 102,861,938.41
  5. Step 5: Solve for x
    x = 102,861,938.41/15,978.48
  6. Step 6: Final answer
    x = 6,437.53

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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.