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Finding the Fourth Proportional to 5,272.71, 7,276.22 and 2,882.58

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Solution

The fourth proportional to 5,272.71, 7,276.22 and 2,882.58 is: 3,977.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.71 : 7,276.22 = 2,882.58 : x
  2. Step 2: Convert to fraction form
    5,272.71/7,276.22 = 2,882.58/x
  3. Step 3: Cross multiply
    5,272.71x = 7,276.22 × 2,882.58
  4. Step 4: Simplify right side
    5,272.71x = 20,974,271.83
  5. Step 5: Solve for x
    x = 20,974,271.83/5,272.71
  6. Step 6: Final answer
    x = 3,977.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.