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Finding the Fourth Proportional to 8,773.12, 13,111.16 and 7,859.44

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Solution

The fourth proportional to 8,773.12, 13,111.16 and 7,859.44 is: 11,745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,773.12 : 13,111.16 = 7,859.44 : x
  2. Step 2: Convert to fraction form
    8,773.12/13,111.16 = 7,859.44/x
  3. Step 3: Cross multiply
    8,773.12x = 13,111.16 × 7,859.44
  4. Step 4: Simplify right side
    8,773.12x = 103,046,375.35
  5. Step 5: Solve for x
    x = 103,046,375.35/8,773.12
  6. Step 6: Final answer
    x = 11,745.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.