Home / 2,882.97-4,321.76-1,564.80

Finding the Fourth Proportional to 2,882.97, 4,321.76 and 1,564.80

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Solution

The fourth proportional to 2,882.97, 4,321.76 and 1,564.80 is: 2,345.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.97 : 4,321.76 = 1,564.80 : x
  2. Step 2: Convert to fraction form
    2,882.97/4,321.76 = 1,564.80/x
  3. Step 3: Cross multiply
    2,882.97x = 4,321.76 × 1,564.80
  4. Step 4: Simplify right side
    2,882.97x = 6,762,690.05
  5. Step 5: Solve for x
    x = 6,762,690.05/2,882.97
  6. Step 6: Final answer
    x = 2,345.74

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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.