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Finding the Fourth Proportional to 3,920.95, 5,411 and 2,242.51

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Solution

The fourth proportional to 3,920.95, 5,411 and 2,242.51 is: 3,094.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.95 : 5,411 = 2,242.51 : x
  2. Step 2: Convert to fraction form
    3,920.95/5,411 = 2,242.51/x
  3. Step 3: Cross multiply
    3,920.95x = 5,411 × 2,242.51
  4. Step 4: Simplify right side
    3,920.95x = 12,134,221.61
  5. Step 5: Solve for x
    x = 12,134,221.61/3,920.95
  6. Step 6: Final answer
    x = 3,094.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.