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Finding the Fourth Proportional to 3,419.95, 5,129.84 and 954.70

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Solution

The fourth proportional to 3,419.95, 5,129.84 and 954.70 is: 1,432.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.95 : 5,129.84 = 954.70 : x
  2. Step 2: Convert to fraction form
    3,419.95/5,129.84 = 954.70/x
  3. Step 3: Cross multiply
    3,419.95x = 5,129.84 × 954.70
  4. Step 4: Simplify right side
    3,419.95x = 4,897,458.25
  5. Step 5: Solve for x
    x = 4,897,458.25/3,419.95
  6. Step 6: Final answer
    x = 1,432.03

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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.