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Finding the Fourth Proportional to 9,774.11, 13,489.10 and 8,177.94

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Solution

The fourth proportional to 9,774.11, 13,489.10 and 8,177.94 is: 11,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.11 : 13,489.10 = 8,177.94 : x
  2. Step 2: Convert to fraction form
    9,774.11/13,489.10 = 8,177.94/x
  3. Step 3: Cross multiply
    9,774.11x = 13,489.10 × 8,177.94
  4. Step 4: Simplify right side
    9,774.11x = 110,313,050.45
  5. Step 5: Solve for x
    x = 110,313,050.45/9,774.11
  6. Step 6: Final answer
    x = 11,286.25

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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.