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Finding the Fourth Proportional to 8,820.48, 13,229.90 and 2,977.14

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Solution

The fourth proportional to 8,820.48, 13,229.90 and 2,977.14 is: 4,465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,820.48 : 13,229.90 = 2,977.14 : x
  2. Step 2: Convert to fraction form
    8,820.48/13,229.90 = 2,977.14/x
  3. Step 3: Cross multiply
    8,820.48x = 13,229.90 × 2,977.14
  4. Step 4: Simplify right side
    8,820.48x = 39,387,264.49
  5. Step 5: Solve for x
    x = 39,387,264.49/8,820.48
  6. Step 6: Final answer
    x = 4,465.43

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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.