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Finding the Fourth Proportional to 2,862.22, 3,948.96 and 1,603.10

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Solution

The fourth proportional to 2,862.22, 3,948.96 and 1,603.10 is: 2,211.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.22 : 3,948.96 = 1,603.10 : x
  2. Step 2: Convert to fraction form
    2,862.22/3,948.96 = 1,603.10/x
  3. Step 3: Cross multiply
    2,862.22x = 3,948.96 × 1,603.10
  4. Step 4: Simplify right side
    2,862.22x = 6,330,577.78
  5. Step 5: Solve for x
    x = 6,330,577.78/2,862.22
  6. Step 6: Final answer
    x = 2,211.78

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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.