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Finding the Fourth Proportional to 15,078, 22,642.92 and 13,704.24

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Solution

The fourth proportional to 15,078, 22,642.92 and 13,704.24 is: 20,579.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,078 : 22,642.92 = 13,704.24 : x
  2. Step 2: Convert to fraction form
    15,078/22,642.92 = 13,704.24/x
  3. Step 3: Cross multiply
    15,078x = 22,642.92 × 13,704.24
  4. Step 4: Simplify right side
    15,078x = 310,304,009.98
  5. Step 5: Solve for x
    x = 310,304,009.98/15,078
  6. Step 6: Final answer
    x = 20,579.92

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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.