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Finding the Fourth Proportional to 8,728.64, 12,045.60 and 8,067.20

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Solution

The fourth proportional to 8,728.64, 12,045.60 and 8,067.20 is: 11,132.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,728.64 : 12,045.60 = 8,067.20 : x
  2. Step 2: Convert to fraction form
    8,728.64/12,045.60 = 8,067.20/x
  3. Step 3: Cross multiply
    8,728.64x = 12,045.60 × 8,067.20
  4. Step 4: Simplify right side
    8,728.64x = 97,174,264.32
  5. Step 5: Solve for x
    x = 97,174,264.32/8,728.64
  6. Step 6: Final answer
    x = 11,132.81

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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.