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Finding the Fourth Proportional to 2,652.20, 3,978.29 and 897.20

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Solution

The fourth proportional to 2,652.20, 3,978.29 and 897.20 is: 1,345.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.20 : 3,978.29 = 897.20 : x
  2. Step 2: Convert to fraction form
    2,652.20/3,978.29 = 897.20/x
  3. Step 3: Cross multiply
    2,652.20x = 3,978.29 × 897.20
  4. Step 4: Simplify right side
    2,652.20x = 3,569,297.41
  5. Step 5: Solve for x
    x = 3,569,297.41/2,652.20
  6. Step 6: Final answer
    x = 1,345.79

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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.