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Finding the Fourth Proportional to 3,478, 5,217 and 1,046

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Solution

The fourth proportional to 3,478, 5,217 and 1,046 is: 1,569

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478 : 5,217 = 1,046 : x
  2. Step 2: Convert to fraction form
    3,478/5,217 = 1,046/x
  3. Step 3: Cross multiply
    3,478x = 5,217 × 1,046
  4. Step 4: Simplify right side
    3,478x = 5,456,982
  5. Step 5: Solve for x
    x = 5,456,982/3,478
  6. Step 6: Final answer
    x = 1,569

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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.