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Finding the Fourth Proportional to 3,419.58, 5,129.40 and 954.48

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Solution

The fourth proportional to 3,419.58, 5,129.40 and 954.48 is: 1,431.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.58 : 5,129.40 = 954.48 : x
  2. Step 2: Convert to fraction form
    3,419.58/5,129.40 = 954.48/x
  3. Step 3: Cross multiply
    3,419.58x = 5,129.40 × 954.48
  4. Step 4: Simplify right side
    3,419.58x = 4,895,909.71
  5. Step 5: Solve for x
    x = 4,895,909.71/3,419.58
  6. Step 6: Final answer
    x = 1,431.73

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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.