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Finding the Fourth Proportional to 2,853.76, 4,280.12 and 773.92

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Solution

The fourth proportional to 2,853.76, 4,280.12 and 773.92 is: 1,160.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.76 : 4,280.12 = 773.92 : x
  2. Step 2: Convert to fraction form
    2,853.76/4,280.12 = 773.92/x
  3. Step 3: Cross multiply
    2,853.76x = 4,280.12 × 773.92
  4. Step 4: Simplify right side
    2,853.76x = 3,312,470.47
  5. Step 5: Solve for x
    x = 3,312,470.47/2,853.76
  6. Step 6: Final answer
    x = 1,160.74

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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.