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Finding the Fourth Proportional to 2,781, 4,171.68 and 2,606.04

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Solution

The fourth proportional to 2,781, 4,171.68 and 2,606.04 is: 3,909.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781 : 4,171.68 = 2,606.04 : x
  2. Step 2: Convert to fraction form
    2,781/4,171.68 = 2,606.04/x
  3. Step 3: Cross multiply
    2,781x = 4,171.68 × 2,606.04
  4. Step 4: Simplify right side
    2,781x = 10,871,564.95
  5. Step 5: Solve for x
    x = 10,871,564.95/2,781
  6. Step 6: Final answer
    x = 3,909.23

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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.