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Finding the Fourth Proportional to 6,748, 10,123.62 and 2,131

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Solution

The fourth proportional to 6,748, 10,123.62 and 2,131 is: 3,197.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,748 : 10,123.62 = 2,131 : x
  2. Step 2: Convert to fraction form
    6,748/10,123.62 = 2,131/x
  3. Step 3: Cross multiply
    6,748x = 10,123.62 × 2,131
  4. Step 4: Simplify right side
    6,748x = 21,573,434.22
  5. Step 5: Solve for x
    x = 21,573,434.22/6,748
  6. Step 6: Final answer
    x = 3,197.01

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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.