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Finding the Fourth Proportional to 14,478.55, 21,724.75 and 8,158.47

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Solution

The fourth proportional to 14,478.55, 21,724.75 and 8,158.47 is: 12,241.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,478.55 : 21,724.75 = 8,158.47 : x
  2. Step 2: Convert to fraction form
    14,478.55/21,724.75 = 8,158.47/x
  3. Step 3: Cross multiply
    14,478.55x = 21,724.75 × 8,158.47
  4. Step 4: Simplify right side
    14,478.55x = 177,240,721.13
  5. Step 5: Solve for x
    x = 177,240,721.13/14,478.55
  6. Step 6: Final answer
    x = 12,241.61

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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.