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Finding the Fourth Proportional to 8,773.78, 12,106.65 and 5,634.22

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Solution

The fourth proportional to 8,773.78, 12,106.65 and 5,634.22 is: 7,774.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,773.78 : 12,106.65 = 5,634.22 : x
  2. Step 2: Convert to fraction form
    8,773.78/12,106.65 = 5,634.22/x
  3. Step 3: Cross multiply
    8,773.78x = 12,106.65 × 5,634.22
  4. Step 4: Simplify right side
    8,773.78x = 68,211,529.56
  5. Step 5: Solve for x
    x = 68,211,529.56/8,773.78
  6. Step 6: Final answer
    x = 7,774.47

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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.