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Finding the Fourth Proportional to 22,376.66, 30,878.01 and 12,304.31

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Solution

The fourth proportional to 22,376.66, 30,878.01 and 12,304.31 is: 16,978.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,376.66 : 30,878.01 = 12,304.31 : x
  2. Step 2: Convert to fraction form
    22,376.66/30,878.01 = 12,304.31/x
  3. Step 3: Cross multiply
    22,376.66x = 30,878.01 × 12,304.31
  4. Step 4: Simplify right side
    22,376.66x = 379,932,452.83
  5. Step 5: Solve for x
    x = 379,932,452.83/22,376.66
  6. Step 6: Final answer
    x = 16,978.97

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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.