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Finding the Fourth Proportional to 1,865.95, 2,575.07 and 1,119.94

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Solution

The fourth proportional to 1,865.95, 2,575.07 and 1,119.94 is: 1,545.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.95 : 2,575.07 = 1,119.94 : x
  2. Step 2: Convert to fraction form
    1,865.95/2,575.07 = 1,119.94/x
  3. Step 3: Cross multiply
    1,865.95x = 2,575.07 × 1,119.94
  4. Step 4: Simplify right side
    1,865.95x = 2,883,923.90
  5. Step 5: Solve for x
    x = 2,883,923.90/1,865.95
  6. Step 6: Final answer
    x = 1,545.55

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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.