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Finding the Fourth Proportional to 3,420.03, 5,129.13 and 954.69

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Solution

The fourth proportional to 3,420.03, 5,129.13 and 954.69 is: 1,431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.03 : 5,129.13 = 954.69 : x
  2. Step 2: Convert to fraction form
    3,420.03/5,129.13 = 954.69/x
  3. Step 3: Cross multiply
    3,420.03x = 5,129.13 × 954.69
  4. Step 4: Simplify right side
    3,420.03x = 4,896,729.12
  5. Step 5: Solve for x
    x = 4,896,729.12/3,420.03
  6. Step 6: Final answer
    x = 1,431.78

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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.