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Finding the Fourth Proportional to 2,894.73, 3,994.70 and 1,715.82

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Solution

The fourth proportional to 2,894.73, 3,994.70 and 1,715.82 is: 2,367.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.73 : 3,994.70 = 1,715.82 : x
  2. Step 2: Convert to fraction form
    2,894.73/3,994.70 = 1,715.82/x
  3. Step 3: Cross multiply
    2,894.73x = 3,994.70 × 1,715.82
  4. Step 4: Simplify right side
    2,894.73x = 6,854,177.57
  5. Step 5: Solve for x
    x = 6,854,177.57/2,894.73
  6. Step 6: Final answer
    x = 2,367.81

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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.