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Finding the Fourth Proportional to 3,894.12, 5,864.48 and 3,413

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Solution

The fourth proportional to 3,894.12, 5,864.48 and 3,413 is: 5,139.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.12 : 5,864.48 = 3,413 : x
  2. Step 2: Convert to fraction form
    3,894.12/5,864.48 = 3,413/x
  3. Step 3: Cross multiply
    3,894.12x = 5,864.48 × 3,413
  4. Step 4: Simplify right side
    3,894.12x = 20,015,470.24
  5. Step 5: Solve for x
    x = 20,015,470.24/3,894.12
  6. Step 6: Final answer
    x = 5,139.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.