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Finding the Fourth Proportional to 18,412.51, 25,401.18 and 12,442

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Solution

The fourth proportional to 18,412.51, 25,401.18 and 12,442 is: 17,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,412.51 : 25,401.18 = 12,442 : x
  2. Step 2: Convert to fraction form
    18,412.51/25,401.18 = 12,442/x
  3. Step 3: Cross multiply
    18,412.51x = 25,401.18 × 12,442
  4. Step 4: Simplify right side
    18,412.51x = 316,041,481.56
  5. Step 5: Solve for x
    x = 316,041,481.56/18,412.51
  6. Step 6: Final answer
    x = 17,164.50

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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.