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Finding the Fourth Proportional to 2,781, 4,169.88 and 2,457

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Solution

The fourth proportional to 2,781, 4,169.88 and 2,457 is: 3,684.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781 : 4,169.88 = 2,457 : x
  2. Step 2: Convert to fraction form
    2,781/4,169.88 = 2,457/x
  3. Step 3: Cross multiply
    2,781x = 4,169.88 × 2,457
  4. Step 4: Simplify right side
    2,781x = 10,245,395.16
  5. Step 5: Solve for x
    x = 10,245,395.16/2,781
  6. Step 6: Final answer
    x = 3,684.07

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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.