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Finding the Fourth Proportional to 1,572.54, 2,169.90 and 873.78

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Solution

The fourth proportional to 1,572.54, 2,169.90 and 873.78 is: 1,205.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.54 : 2,169.90 = 873.78 : x
  2. Step 2: Convert to fraction form
    1,572.54/2,169.90 = 873.78/x
  3. Step 3: Cross multiply
    1,572.54x = 2,169.90 × 873.78
  4. Step 4: Simplify right side
    1,572.54x = 1,896,015.22
  5. Step 5: Solve for x
    x = 1,896,015.22/1,572.54
  6. Step 6: Final answer
    x = 1,205.70

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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.