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Finding the Fourth Proportional to 1,947.71, 2,901.87 and 1,854.83

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Solution

The fourth proportional to 1,947.71, 2,901.87 and 1,854.83 is: 2,763.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.71 : 2,901.87 = 1,854.83 : x
  2. Step 2: Convert to fraction form
    1,947.71/2,901.87 = 1,854.83/x
  3. Step 3: Cross multiply
    1,947.71x = 2,901.87 × 1,854.83
  4. Step 4: Simplify right side
    1,947.71x = 5,382,461.02
  5. Step 5: Solve for x
    x = 5,382,461.02/1,947.71
  6. Step 6: Final answer
    x = 2,763.49

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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.