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Finding the Fourth Proportional to 15,143, 20,897.34 and 8,519

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Solution

The fourth proportional to 15,143, 20,897.34 and 8,519 is: 11,756.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,143 : 20,897.34 = 8,519 : x
  2. Step 2: Convert to fraction form
    15,143/20,897.34 = 8,519/x
  3. Step 3: Cross multiply
    15,143x = 20,897.34 × 8,519
  4. Step 4: Simplify right side
    15,143x = 178,024,439.46
  5. Step 5: Solve for x
    x = 178,024,439.46/15,143
  6. Step 6: Final answer
    x = 11,756.22

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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.