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Finding the Fourth Proportional to 2,549.70, 3,520.80 and 2,418.48

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Solution

The fourth proportional to 2,549.70, 3,520.80 and 2,418.48 is: 3,339.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.70 : 3,520.80 = 2,418.48 : x
  2. Step 2: Convert to fraction form
    2,549.70/3,520.80 = 2,418.48/x
  3. Step 3: Cross multiply
    2,549.70x = 3,520.80 × 2,418.48
  4. Step 4: Simplify right side
    2,549.70x = 8,514,984.38
  5. Step 5: Solve for x
    x = 8,514,984.38/2,549.70
  6. Step 6: Final answer
    x = 3,339.60

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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.