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Finding the Fourth Proportional to 3,712.55, 5,123.10 and 2,033.63

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Solution

The fourth proportional to 3,712.55, 5,123.10 and 2,033.63 is: 2,806.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.55 : 5,123.10 = 2,033.63 : x
  2. Step 2: Convert to fraction form
    3,712.55/5,123.10 = 2,033.63/x
  3. Step 3: Cross multiply
    3,712.55x = 5,123.10 × 2,033.63
  4. Step 4: Simplify right side
    3,712.55x = 10,418,464.24
  5. Step 5: Solve for x
    x = 10,418,464.24/3,712.55
  6. Step 6: Final answer
    x = 2,806.28

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1.5x scale

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.