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Finding the Fourth Proportional to 1,866.95, 2,572.33 and 1,394.66

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Solution

The fourth proportional to 1,866.95, 2,572.33 and 1,394.66 is: 1,921.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.95 : 2,572.33 = 1,394.66 : x
  2. Step 2: Convert to fraction form
    1,866.95/2,572.33 = 1,394.66/x
  3. Step 3: Cross multiply
    1,866.95x = 2,572.33 × 1,394.66
  4. Step 4: Simplify right side
    1,866.95x = 3,587,525.76
  5. Step 5: Solve for x
    x = 3,587,525.76/1,866.95
  6. Step 6: Final answer
    x = 1,921.60

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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.