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Finding the Fourth Proportional to 3,153.40, 4,729.93 and 961.96

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Solution

The fourth proportional to 3,153.40, 4,729.93 and 961.96 is: 1,442.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.40 : 4,729.93 = 961.96 : x
  2. Step 2: Convert to fraction form
    3,153.40/4,729.93 = 961.96/x
  3. Step 3: Cross multiply
    3,153.40x = 4,729.93 × 961.96
  4. Step 4: Simplify right side
    3,153.40x = 4,549,975.00
  5. Step 5: Solve for x
    x = 4,549,975.00/3,153.40
  6. Step 6: Final answer
    x = 1,442.88

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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.