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Finding the Fourth Proportional to 2,559.78, 3,841.20 and 1,098.90

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Solution

The fourth proportional to 2,559.78, 3,841.20 and 1,098.90 is: 1,649.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.78 : 3,841.20 = 1,098.90 : x
  2. Step 2: Convert to fraction form
    2,559.78/3,841.20 = 1,098.90/x
  3. Step 3: Cross multiply
    2,559.78x = 3,841.20 × 1,098.90
  4. Step 4: Simplify right side
    2,559.78x = 4,221,094.68
  5. Step 5: Solve for x
    x = 4,221,094.68/2,559.78
  6. Step 6: Final answer
    x = 1,649.01

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1.5x scale

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.