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Finding the Fourth Proportional to 8,351.62, 11,506.32 and 6,857.16

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Solution

The fourth proportional to 8,351.62, 11,506.32 and 6,857.16 is: 9,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,351.62 : 11,506.32 = 6,857.16 : x
  2. Step 2: Convert to fraction form
    8,351.62/11,506.32 = 6,857.16/x
  3. Step 3: Cross multiply
    8,351.62x = 11,506.32 × 6,857.16
  4. Step 4: Simplify right side
    8,351.62x = 78,900,677.25
  5. Step 5: Solve for x
    x = 78,900,677.25/8,351.62
  6. Step 6: Final answer
    x = 9,447.35

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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.