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Finding the Fourth Proportional to 2,587.68, 3,884.76 and 2,013.12

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Solution

The fourth proportional to 2,587.68, 3,884.76 and 2,013.12 is: 3,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.68 : 3,884.76 = 2,013.12 : x
  2. Step 2: Convert to fraction form
    2,587.68/3,884.76 = 2,013.12/x
  3. Step 3: Cross multiply
    2,587.68x = 3,884.76 × 2,013.12
  4. Step 4: Simplify right side
    2,587.68x = 7,820,488.05
  5. Step 5: Solve for x
    x = 7,820,488.05/2,587.68
  6. Step 6: Final answer
    x = 3,022.20

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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.