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Finding the Fourth Proportional to 18,341.64, 27,454.14 and 13,122

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Solution

The fourth proportional to 18,341.64, 27,454.14 and 13,122 is: 19,641.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,341.64 : 27,454.14 = 13,122 : x
  2. Step 2: Convert to fraction form
    18,341.64/27,454.14 = 13,122/x
  3. Step 3: Cross multiply
    18,341.64x = 27,454.14 × 13,122
  4. Step 4: Simplify right side
    18,341.64x = 360,253,225.08
  5. Step 5: Solve for x
    x = 360,253,225.08/18,341.64
  6. Step 6: Final answer
    x = 19,641.28

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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.