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Finding the Fourth Proportional to 3,420.31, 5,129.91 and 954.55

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Solution

The fourth proportional to 3,420.31, 5,129.91 and 954.55 is: 1,431.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.31 : 5,129.91 = 954.55 : x
  2. Step 2: Convert to fraction form
    3,420.31/5,129.91 = 954.55/x
  3. Step 3: Cross multiply
    3,420.31x = 5,129.91 × 954.55
  4. Step 4: Simplify right side
    3,420.31x = 4,896,755.59
  5. Step 5: Solve for x
    x = 4,896,755.59/3,420.31
  6. Step 6: Final answer
    x = 1,431.67

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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.