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Finding the Fourth Proportional to 4,131, 6,197.28 and 1,358.48

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Solution

The fourth proportional to 4,131, 6,197.28 and 1,358.48 is: 2,037.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,131 : 6,197.28 = 1,358.48 : x
  2. Step 2: Convert to fraction form
    4,131/6,197.28 = 1,358.48/x
  3. Step 3: Cross multiply
    4,131x = 6,197.28 × 1,358.48
  4. Step 4: Simplify right side
    4,131x = 8,418,880.93
  5. Step 5: Solve for x
    x = 8,418,880.93/4,131
  6. Step 6: Final answer
    x = 2,037.98

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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.