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Finding the Fourth Proportional to 2,538.92, 3,503.60 and 1,419.80

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Solution

The fourth proportional to 2,538.92, 3,503.60 and 1,419.80 is: 1,959.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.92 : 3,503.60 = 1,419.80 : x
  2. Step 2: Convert to fraction form
    2,538.92/3,503.60 = 1,419.80/x
  3. Step 3: Cross multiply
    2,538.92x = 3,503.60 × 1,419.80
  4. Step 4: Simplify right side
    2,538.92x = 4,974,411.28
  5. Step 5: Solve for x
    x = 4,974,411.28/2,538.92
  6. Step 6: Final answer
    x = 1,959.26

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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.