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Finding the Fourth Proportional to 2,487.54, 3,715.62 and 1,867.98

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Solution

The fourth proportional to 2,487.54, 3,715.62 and 1,867.98 is: 2,790.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487.54 : 3,715.62 = 1,867.98 : x
  2. Step 2: Convert to fraction form
    2,487.54/3,715.62 = 1,867.98/x
  3. Step 3: Cross multiply
    2,487.54x = 3,715.62 × 1,867.98
  4. Step 4: Simplify right side
    2,487.54x = 6,940,703.85
  5. Step 5: Solve for x
    x = 6,940,703.85/2,487.54
  6. Step 6: Final answer
    x = 2,790.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.