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Finding the Fourth Proportional to 19,978.40, 29,967.60 and 8,288.48

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Solution

The fourth proportional to 19,978.40, 29,967.60 and 8,288.48 is: 12,432.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.40 : 29,967.60 = 8,288.48 : x
  2. Step 2: Convert to fraction form
    19,978.40/29,967.60 = 8,288.48/x
  3. Step 3: Cross multiply
    19,978.40x = 29,967.60 × 8,288.48
  4. Step 4: Simplify right side
    19,978.40x = 248,385,853.25
  5. Step 5: Solve for x
    x = 248,385,853.25/19,978.40
  6. Step 6: Final answer
    x = 12,432.72

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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.