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Finding the Fourth Proportional to 1,866.30, 2,572.83 and 1,275.90

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Solution

The fourth proportional to 1,866.30, 2,572.83 and 1,275.90 is: 1,758.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.30 : 2,572.83 = 1,275.90 : x
  2. Step 2: Convert to fraction form
    1,866.30/2,572.83 = 1,275.90/x
  3. Step 3: Cross multiply
    1,866.30x = 2,572.83 × 1,275.90
  4. Step 4: Simplify right side
    1,866.30x = 3,282,673.80
  5. Step 5: Solve for x
    x = 3,282,673.80/1,866.30
  6. Step 6: Final answer
    x = 1,758.92

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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.