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Finding the Fourth Proportional to 14,182.56, 21,242.16 and 10,278

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Solution

The fourth proportional to 14,182.56, 21,242.16 and 10,278 is: 15,394.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.56 : 21,242.16 = 10,278 : x
  2. Step 2: Convert to fraction form
    14,182.56/21,242.16 = 10,278/x
  3. Step 3: Cross multiply
    14,182.56x = 21,242.16 × 10,278
  4. Step 4: Simplify right side
    14,182.56x = 218,326,920.48
  5. Step 5: Solve for x
    x = 218,326,920.48/14,182.56
  6. Step 6: Final answer
    x = 15,394.04

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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.