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Finding the Fourth Proportional to 1,861.10, 2,568.03 and 1,114.89

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Solution

The fourth proportional to 1,861.10, 2,568.03 and 1,114.89 is: 1,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.10 : 2,568.03 = 1,114.89 : x
  2. Step 2: Convert to fraction form
    1,861.10/2,568.03 = 1,114.89/x
  3. Step 3: Cross multiply
    1,861.10x = 2,568.03 × 1,114.89
  4. Step 4: Simplify right side
    1,861.10x = 2,863,070.97
  5. Step 5: Solve for x
    x = 2,863,070.97/1,861.10
  6. Step 6: Final answer
    x = 1,538.38

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Why These Related Problems?

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