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Finding the Fourth Proportional to 3,398.48, 5,098.49 and 1,207.20

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Solution

The fourth proportional to 3,398.48, 5,098.49 and 1,207.20 is: 1,811.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.48 : 5,098.49 = 1,207.20 : x
  2. Step 2: Convert to fraction form
    3,398.48/5,098.49 = 1,207.20/x
  3. Step 3: Cross multiply
    3,398.48x = 5,098.49 × 1,207.20
  4. Step 4: Simplify right side
    3,398.48x = 6,154,897.13
  5. Step 5: Solve for x
    x = 6,154,897.13/3,398.48
  6. Step 6: Final answer
    x = 1,811.07

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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.