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Finding the Fourth Proportional to 8,821.68, 13,232.52 and 2,978.20

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Solution

The fourth proportional to 8,821.68, 13,232.52 and 2,978.20 is: 4,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821.68 : 13,232.52 = 2,978.20 : x
  2. Step 2: Convert to fraction form
    8,821.68/13,232.52 = 2,978.20/x
  3. Step 3: Cross multiply
    8,821.68x = 13,232.52 × 2,978.20
  4. Step 4: Simplify right side
    8,821.68x = 39,409,076.17
  5. Step 5: Solve for x
    x = 39,409,076.17/8,821.68
  6. Step 6: Final answer
    x = 4,467.30

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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.