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Finding the Fourth Proportional to 3,411.46, 5,117.80 and 1,221.46

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Solution

The fourth proportional to 3,411.46, 5,117.80 and 1,221.46 is: 1,832.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.46 : 5,117.80 = 1,221.46 : x
  2. Step 2: Convert to fraction form
    3,411.46/5,117.80 = 1,221.46/x
  3. Step 3: Cross multiply
    3,411.46x = 5,117.80 × 1,221.46
  4. Step 4: Simplify right side
    3,411.46x = 6,251,187.99
  5. Step 5: Solve for x
    x = 6,251,187.99/3,411.46
  6. Step 6: Final answer
    x = 1,832.41

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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.