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Finding the Fourth Proportional to 4,882.20, 7,323.77 and 1,764.10

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Solution

The fourth proportional to 4,882.20, 7,323.77 and 1,764.10 is: 2,646.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.20 : 7,323.77 = 1,764.10 : x
  2. Step 2: Convert to fraction form
    4,882.20/7,323.77 = 1,764.10/x
  3. Step 3: Cross multiply
    4,882.20x = 7,323.77 × 1,764.10
  4. Step 4: Simplify right side
    4,882.20x = 12,919,862.66
  5. Step 5: Solve for x
    x = 12,919,862.66/4,882.20
  6. Step 6: Final answer
    x = 2,646.32

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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.