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Finding the Fourth Proportional to 4,138.90, 5,711.49 and 2,460.49

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Solution

The fourth proportional to 4,138.90, 5,711.49 and 2,460.49 is: 3,395.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.90 : 5,711.49 = 2,460.49 : x
  2. Step 2: Convert to fraction form
    4,138.90/5,711.49 = 2,460.49/x
  3. Step 3: Cross multiply
    4,138.90x = 5,711.49 × 2,460.49
  4. Step 4: Simplify right side
    4,138.90x = 14,053,050.86
  5. Step 5: Solve for x
    x = 14,053,050.86/4,138.90
  6. Step 6: Final answer
    x = 3,395.36

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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.