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Finding the Fourth Proportional to 3,862.54, 5,765.84 and 3,395.46

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Solution

The fourth proportional to 3,862.54, 5,765.84 and 3,395.46 is: 5,068.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.54 : 5,765.84 = 3,395.46 : x
  2. Step 2: Convert to fraction form
    3,862.54/5,765.84 = 3,395.46/x
  3. Step 3: Cross multiply
    3,862.54x = 5,765.84 × 3,395.46
  4. Step 4: Simplify right side
    3,862.54x = 19,577,679.09
  5. Step 5: Solve for x
    x = 19,577,679.09/3,862.54
  6. Step 6: Final answer
    x = 5,068.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.