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Finding the Fourth Proportional to 1,572.07, 2,169.48 and 873.49

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Solution

The fourth proportional to 1,572.07, 2,169.48 and 873.49 is: 1,205.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.07 : 2,169.48 = 873.49 : x
  2. Step 2: Convert to fraction form
    1,572.07/2,169.48 = 873.49/x
  3. Step 3: Cross multiply
    1,572.07x = 2,169.48 × 873.49
  4. Step 4: Simplify right side
    1,572.07x = 1,895,019.09
  5. Step 5: Solve for x
    x = 1,895,019.09/1,572.07
  6. Step 6: Final answer
    x = 1,205.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.