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Finding the Fourth Proportional to 3,425.62, 5,139.51 and 1,478.74

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Solution

The fourth proportional to 3,425.62, 5,139.51 and 1,478.74 is: 2,218.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.62 : 5,139.51 = 1,478.74 : x
  2. Step 2: Convert to fraction form
    3,425.62/5,139.51 = 1,478.74/x
  3. Step 3: Cross multiply
    3,425.62x = 5,139.51 × 1,478.74
  4. Step 4: Simplify right side
    3,425.62x = 7,599,999.02
  5. Step 5: Solve for x
    x = 7,599,999.02/3,425.62
  6. Step 6: Final answer
    x = 2,218.58

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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.