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Finding the Fourth Proportional to 3,419.49, 5,129.37 and 954.66

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Solution

The fourth proportional to 3,419.49, 5,129.37 and 954.66 is: 1,432.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.49 : 5,129.37 = 954.66 : x
  2. Step 2: Convert to fraction form
    3,419.49/5,129.37 = 954.66/x
  3. Step 3: Cross multiply
    3,419.49x = 5,129.37 × 954.66
  4. Step 4: Simplify right side
    3,419.49x = 4,896,804.36
  5. Step 5: Solve for x
    x = 4,896,804.36/3,419.49
  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.