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Finding the Fourth Proportional to 2,572.74, 3,550.20 and 1,578.06

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Solution

The fourth proportional to 2,572.74, 3,550.20 and 1,578.06 is: 2,177.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.74 : 3,550.20 = 1,578.06 : x
  2. Step 2: Convert to fraction form
    2,572.74/3,550.20 = 1,578.06/x
  3. Step 3: Cross multiply
    2,572.74x = 3,550.20 × 1,578.06
  4. Step 4: Simplify right side
    2,572.74x = 5,602,428.61
  5. Step 5: Solve for x
    x = 5,602,428.61/2,572.74
  6. Step 6: Final answer
    x = 2,177.61

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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.