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Finding the Fourth Proportional to 3,498.66, 5,242.32 and 2,197.80

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Solution

The fourth proportional to 3,498.66, 5,242.32 and 2,197.80 is: 3,293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.66 : 5,242.32 = 2,197.80 : x
  2. Step 2: Convert to fraction form
    3,498.66/5,242.32 = 2,197.80/x
  3. Step 3: Cross multiply
    3,498.66x = 5,242.32 × 2,197.80
  4. Step 4: Simplify right side
    3,498.66x = 11,521,570.90
  5. Step 5: Solve for x
    x = 11,521,570.90/3,498.66
  6. Step 6: Final answer
    x = 3,293.14

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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.