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Finding the Fourth Proportional to 2,847.76, 4,271.52 and 873.30

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Solution

The fourth proportional to 2,847.76, 4,271.52 and 873.30 is: 1,309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.76 : 4,271.52 = 873.30 : x
  2. Step 2: Convert to fraction form
    2,847.76/4,271.52 = 873.30/x
  3. Step 3: Cross multiply
    2,847.76x = 4,271.52 × 873.30
  4. Step 4: Simplify right side
    2,847.76x = 3,730,318.42
  5. Step 5: Solve for x
    x = 3,730,318.42/2,847.76
  6. Step 6: Final answer
    x = 1,309.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.