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Finding the Fourth Proportional to 8,480.30, 11,686.48 and 5,644.49

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Solution

The fourth proportional to 8,480.30, 11,686.48 and 5,644.49 is: 7,778.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,480.30 : 11,686.48 = 5,644.49 : x
  2. Step 2: Convert to fraction form
    8,480.30/11,686.48 = 5,644.49/x
  3. Step 3: Cross multiply
    8,480.30x = 11,686.48 × 5,644.49
  4. Step 4: Simplify right side
    8,480.30x = 65,964,146.95
  5. Step 5: Solve for x
    x = 65,964,146.95/8,480.30
  6. Step 6: Final answer
    x = 7,778.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.