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Finding the Fourth Proportional to 3,413, 4,708.92 and 2,085.76

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Solution

The fourth proportional to 3,413, 4,708.92 and 2,085.76 is: 2,877.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413 : 4,708.92 = 2,085.76 : x
  2. Step 2: Convert to fraction form
    3,413/4,708.92 = 2,085.76/x
  3. Step 3: Cross multiply
    3,413x = 4,708.92 × 2,085.76
  4. Step 4: Simplify right side
    3,413x = 9,821,676.98
  5. Step 5: Solve for x
    x = 9,821,676.98/3,413
  6. Step 6: Final answer
    x = 2,877.73

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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.