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Finding the Fourth Proportional to 22,978.80, 34,460.10 and 8,188.20

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Solution

The fourth proportional to 22,978.80, 34,460.10 and 8,188.20 is: 12,279.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,978.80 : 34,460.10 = 8,188.20 : x
  2. Step 2: Convert to fraction form
    22,978.80/34,460.10 = 8,188.20/x
  3. Step 3: Cross multiply
    22,978.80x = 34,460.10 × 8,188.20
  4. Step 4: Simplify right side
    22,978.80x = 282,166,190.82
  5. Step 5: Solve for x
    x = 282,166,190.82/22,978.80
  6. Step 6: Final answer
    x = 12,279.41

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1.5x scale

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.