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Finding the Fourth Proportional to 10,143.50, 15,214.02 and 3,123.50

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Solution

The fourth proportional to 10,143.50, 15,214.02 and 3,123.50 is: 4,684.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.50 : 15,214.02 = 3,123.50 : x
  2. Step 2: Convert to fraction form
    10,143.50/15,214.02 = 3,123.50/x
  3. Step 3: Cross multiply
    10,143.50x = 15,214.02 × 3,123.50
  4. Step 4: Simplify right side
    10,143.50x = 47,520,991.47
  5. Step 5: Solve for x
    x = 47,520,991.47/10,143.50
  6. Step 6: Final answer
    x = 4,684.87

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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.