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Finding the Fourth Proportional to 9,170.61, 13,774.32 and 8,912.22

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Solution

The fourth proportional to 9,170.61, 13,774.32 and 8,912.22 is: 13,386.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.61 : 13,774.32 = 8,912.22 : x
  2. Step 2: Convert to fraction form
    9,170.61/13,774.32 = 8,912.22/x
  3. Step 3: Cross multiply
    9,170.61x = 13,774.32 × 8,912.22
  4. Step 4: Simplify right side
    9,170.61x = 122,759,770.19
  5. Step 5: Solve for x
    x = 122,759,770.19/9,170.61
  6. Step 6: Final answer
    x = 13,386.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.