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Finding the Fourth Proportional to 8,320, 12,480.29 and 2,697.54

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Solution

The fourth proportional to 8,320, 12,480.29 and 2,697.54 is: 4,046.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,320 : 12,480.29 = 2,697.54 : x
  2. Step 2: Convert to fraction form
    8,320/12,480.29 = 2,697.54/x
  3. Step 3: Cross multiply
    8,320x = 12,480.29 × 2,697.54
  4. Step 4: Simplify right side
    8,320x = 33,666,081.49
  5. Step 5: Solve for x
    x = 33,666,081.49/8,320
  6. Step 6: Final answer
    x = 4,046.40

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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.