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Finding the Fourth Proportional to 2,608.40, 3,910.14 and 875.81

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Solution

The fourth proportional to 2,608.40, 3,910.14 and 875.81 is: 1,312.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.40 : 3,910.14 = 875.81 : x
  2. Step 2: Convert to fraction form
    2,608.40/3,910.14 = 875.81/x
  3. Step 3: Cross multiply
    2,608.40x = 3,910.14 × 875.81
  4. Step 4: Simplify right side
    2,608.40x = 3,424,549.49
  5. Step 5: Solve for x
    x = 3,424,549.49/2,608.40
  6. Step 6: Final answer
    x = 1,312.89

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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.