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Finding the Fourth Proportional to 22,449.59, 30,980.06 and 12,378.97

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Solution

The fourth proportional to 22,449.59, 30,980.06 and 12,378.97 is: 17,082.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,449.59 : 30,980.06 = 12,378.97 : x
  2. Step 2: Convert to fraction form
    22,449.59/30,980.06 = 12,378.97/x
  3. Step 3: Cross multiply
    22,449.59x = 30,980.06 × 12,378.97
  4. Step 4: Simplify right side
    22,449.59x = 383,501,078.44
  5. Step 5: Solve for x
    x = 383,501,078.44/22,449.59
  6. Step 6: Final answer
    x = 17,082.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.