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Finding the Fourth Proportional to 2,620.48, 3,927.48 and 1,322.32

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Solution

The fourth proportional to 2,620.48, 3,927.48 and 1,322.32 is: 1,981.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.48 : 3,927.48 = 1,322.32 : x
  2. Step 2: Convert to fraction form
    2,620.48/3,927.48 = 1,322.32/x
  3. Step 3: Cross multiply
    2,620.48x = 3,927.48 × 1,322.32
  4. Step 4: Simplify right side
    2,620.48x = 5,193,385.35
  5. Step 5: Solve for x
    x = 5,193,385.35/2,620.48
  6. Step 6: Final answer
    x = 1,981.85

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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.