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Finding the Fourth Proportional to 5,180.80, 7,766.16 and 1,891.84

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Solution

The fourth proportional to 5,180.80, 7,766.16 and 1,891.84 is: 2,835.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.80 : 7,766.16 = 1,891.84 : x
  2. Step 2: Convert to fraction form
    5,180.80/7,766.16 = 1,891.84/x
  3. Step 3: Cross multiply
    5,180.80x = 7,766.16 × 1,891.84
  4. Step 4: Simplify right side
    5,180.80x = 14,692,332.13
  5. Step 5: Solve for x
    x = 14,692,332.13/5,180.80
  6. Step 6: Final answer
    x = 2,835.92

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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.