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Finding the Fourth Proportional to 5,218.80, 7,784.22 and 4,855.92

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Solution

The fourth proportional to 5,218.80, 7,784.22 and 4,855.92 is: 7,242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.80 : 7,784.22 = 4,855.92 : x
  2. Step 2: Convert to fraction form
    5,218.80/7,784.22 = 4,855.92/x
  3. Step 3: Cross multiply
    5,218.80x = 7,784.22 × 4,855.92
  4. Step 4: Simplify right side
    5,218.80x = 37,799,549.58
  5. Step 5: Solve for x
    x = 37,799,549.58/5,218.80
  6. Step 6: Final answer
    x = 7,242.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.