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Finding the Fourth Proportional to 3,891.64, 5,837.46 and 2,583.76

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Solution

The fourth proportional to 3,891.64, 5,837.46 and 2,583.76 is: 3,875.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.64 : 5,837.46 = 2,583.76 : x
  2. Step 2: Convert to fraction form
    3,891.64/5,837.46 = 2,583.76/x
  3. Step 3: Cross multiply
    3,891.64x = 5,837.46 × 2,583.76
  4. Step 4: Simplify right side
    3,891.64x = 15,082,595.65
  5. Step 5: Solve for x
    x = 15,082,595.65/3,891.64
  6. Step 6: Final answer
    x = 3,875.64

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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.