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Finding the Fourth Proportional to 8,408.65, 11,590.27 and 6,724.66

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Solution

The fourth proportional to 8,408.65, 11,590.27 and 6,724.66 is: 9,269.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.65 : 11,590.27 = 6,724.66 : x
  2. Step 2: Convert to fraction form
    8,408.65/11,590.27 = 6,724.66/x
  3. Step 3: Cross multiply
    8,408.65x = 11,590.27 × 6,724.66
  4. Step 4: Simplify right side
    8,408.65x = 77,940,625.06
  5. Step 5: Solve for x
    x = 77,940,625.06/8,408.65
  6. Step 6: Final answer
    x = 9,269.10

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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.