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Finding the Fourth Proportional to 1,965.22, 2,947.92 and 1,870.65

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Solution

The fourth proportional to 1,965.22, 2,947.92 and 1,870.65 is: 2,806.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.22 : 2,947.92 = 1,870.65 : x
  2. Step 2: Convert to fraction form
    1,965.22/2,947.92 = 1,870.65/x
  3. Step 3: Cross multiply
    1,965.22x = 2,947.92 × 1,870.65
  4. Step 4: Simplify right side
    1,965.22x = 5,514,511.81
  5. Step 5: Solve for x
    x = 5,514,511.81/1,965.22
  6. Step 6: Final answer
    x = 2,806.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.