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Finding the Fourth Proportional to 2,138.84, 2,951.24 and 1,299.40

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Solution

The fourth proportional to 2,138.84, 2,951.24 and 1,299.40 is: 1,792.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.84 : 2,951.24 = 1,299.40 : x
  2. Step 2: Convert to fraction form
    2,138.84/2,951.24 = 1,299.40/x
  3. Step 3: Cross multiply
    2,138.84x = 2,951.24 × 1,299.40
  4. Step 4: Simplify right side
    2,138.84x = 3,834,841.26
  5. Step 5: Solve for x
    x = 3,834,841.26/2,138.84
  6. Step 6: Final answer
    x = 1,792.95

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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.