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Finding the Fourth Proportional to 3,182.77, 4,774.83 and 961.77

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Solution

The fourth proportional to 3,182.77, 4,774.83 and 961.77 is: 1,442.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.77 : 4,774.83 = 961.77 : x
  2. Step 2: Convert to fraction form
    3,182.77/4,774.83 = 961.77/x
  3. Step 3: Cross multiply
    3,182.77x = 4,774.83 × 961.77
  4. Step 4: Simplify right side
    3,182.77x = 4,592,263.61
  5. Step 5: Solve for x
    x = 4,592,263.61/3,182.77
  6. Step 6: Final answer
    x = 1,442.85

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1.5x scale

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.