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Finding the Fourth Proportional to 2,572.18, 3,857.81 and 722.85

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Solution

The fourth proportional to 2,572.18, 3,857.81 and 722.85 is: 1,084.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.18 : 3,857.81 = 722.85 : x
  2. Step 2: Convert to fraction form
    2,572.18/3,857.81 = 722.85/x
  3. Step 3: Cross multiply
    2,572.18x = 3,857.81 × 722.85
  4. Step 4: Simplify right side
    2,572.18x = 2,788,617.96
  5. Step 5: Solve for x
    x = 2,788,617.96/2,572.18
  6. Step 6: Final answer
    x = 1,084.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.