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Finding the Fourth Proportional to 8,401.35, 11,568.84 and 8,214.89

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Solution

The fourth proportional to 8,401.35, 11,568.84 and 8,214.89 is: 11,312.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,401.35 : 11,568.84 = 8,214.89 : x
  2. Step 2: Convert to fraction form
    8,401.35/11,568.84 = 8,214.89/x
  3. Step 3: Cross multiply
    8,401.35x = 11,568.84 × 8,214.89
  4. Step 4: Simplify right side
    8,401.35x = 95,036,690.18
  5. Step 5: Solve for x
    x = 95,036,690.18/8,401.35
  6. Step 6: Final answer
    x = 11,312.07

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Half scale
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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.