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Finding the Fourth Proportional to 18,294.16, 27,438.05 and 5,143.41

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Solution

The fourth proportional to 18,294.16, 27,438.05 and 5,143.41 is: 7,714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,294.16 : 27,438.05 = 5,143.41 : x
  2. Step 2: Convert to fraction form
    18,294.16/27,438.05 = 5,143.41/x
  3. Step 3: Cross multiply
    18,294.16x = 27,438.05 × 5,143.41
  4. Step 4: Simplify right side
    18,294.16x = 141,125,085.01
  5. Step 5: Solve for x
    x = 141,125,085.01/18,294.16
  6. Step 6: Final answer
    x = 7,714.21

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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.