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Finding the Fourth Proportional to 14,642.98, 21,948.24 and 7,231.78

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Solution

The fourth proportional to 14,642.98, 21,948.24 and 7,231.78 is: 10,839.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.98 : 21,948.24 = 7,231.78 : x
  2. Step 2: Convert to fraction form
    14,642.98/21,948.24 = 7,231.78/x
  3. Step 3: Cross multiply
    14,642.98x = 21,948.24 × 7,231.78
  4. Step 4: Simplify right side
    14,642.98x = 158,724,843.07
  5. Step 5: Solve for x
    x = 158,724,843.07/14,642.98
  6. Step 6: Final answer
    x = 10,839.65

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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.