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Finding the Fourth Proportional to 3,152.86, 4,729.99 and 961.76

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Solution

The fourth proportional to 3,152.86, 4,729.99 and 961.76 is: 1,442.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.86 : 4,729.99 = 961.76 : x
  2. Step 2: Convert to fraction form
    3,152.86/4,729.99 = 961.76/x
  3. Step 3: Cross multiply
    3,152.86x = 4,729.99 × 961.76
  4. Step 4: Simplify right side
    3,152.86x = 4,549,106.87
  5. Step 5: Solve for x
    x = 4,549,106.87/3,152.86
  6. Step 6: Final answer
    x = 1,442.85

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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.