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Finding the Fourth Proportional to 2,138.71, 2,947.04 and 1,578.29

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Solution

The fourth proportional to 2,138.71, 2,947.04 and 1,578.29 is: 2,174.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.71 : 2,947.04 = 1,578.29 : x
  2. Step 2: Convert to fraction form
    2,138.71/2,947.04 = 1,578.29/x
  3. Step 3: Cross multiply
    2,138.71x = 2,947.04 × 1,578.29
  4. Step 4: Simplify right side
    2,138.71x = 4,651,283.76
  5. Step 5: Solve for x
    x = 4,651,283.76/2,138.71
  6. Step 6: Final answer
    x = 2,174.81

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1.5x scale

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.