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Finding the Fourth Proportional to 2,740.41, 4,110.63 and 891.69

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Solution

The fourth proportional to 2,740.41, 4,110.63 and 891.69 is: 1,337.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.41 : 4,110.63 = 891.69 : x
  2. Step 2: Convert to fraction form
    2,740.41/4,110.63 = 891.69/x
  3. Step 3: Cross multiply
    2,740.41x = 4,110.63 × 891.69
  4. Step 4: Simplify right side
    2,740.41x = 3,665,407.66
  5. Step 5: Solve for x
    x = 3,665,407.66/2,740.41
  6. Step 6: Final answer
    x = 1,337.54

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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.