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Finding the Fourth Proportional to 2,861.53, 4,292.90 and 887.29

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Solution

The fourth proportional to 2,861.53, 4,292.90 and 887.29 is: 1,331.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.53 : 4,292.90 = 887.29 : x
  2. Step 2: Convert to fraction form
    2,861.53/4,292.90 = 887.29/x
  3. Step 3: Cross multiply
    2,861.53x = 4,292.90 × 887.29
  4. Step 4: Simplify right side
    2,861.53x = 3,809,047.24
  5. Step 5: Solve for x
    x = 3,809,047.24/2,861.53
  6. Step 6: Final answer
    x = 1,331.12

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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.