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Finding the Fourth Proportional to 9,717.30, 13,396.19 and 8,219.16

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Solution

The fourth proportional to 9,717.30, 13,396.19 and 8,219.16 is: 11,330.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.30 : 13,396.19 = 8,219.16 : x
  2. Step 2: Convert to fraction form
    9,717.30/13,396.19 = 8,219.16/x
  3. Step 3: Cross multiply
    9,717.30x = 13,396.19 × 8,219.16
  4. Step 4: Simplify right side
    9,717.30x = 110,105,387.90
  5. Step 5: Solve for x
    x = 110,105,387.90/9,717.30
  6. Step 6: Final answer
    x = 11,330.86

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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.