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Finding the Fourth Proportional to 1,938.70, 2,894.92 and 1,523.17

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Solution

The fourth proportional to 1,938.70, 2,894.92 and 1,523.17 is: 2,274.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.70 : 2,894.92 = 1,523.17 : x
  2. Step 2: Convert to fraction form
    1,938.70/2,894.92 = 1,523.17/x
  3. Step 3: Cross multiply
    1,938.70x = 2,894.92 × 1,523.17
  4. Step 4: Simplify right side
    1,938.70x = 4,409,455.30
  5. Step 5: Solve for x
    x = 4,409,455.30/1,938.70
  6. Step 6: Final answer
    x = 2,274.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.