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Finding the Fourth Proportional to 8,398.87, 11,588.04 and 5,416.42

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Solution

The fourth proportional to 8,398.87, 11,588.04 and 5,416.42 is: 7,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,398.87 : 11,588.04 = 5,416.42 : x
  2. Step 2: Convert to fraction form
    8,398.87/11,588.04 = 5,416.42/x
  3. Step 3: Cross multiply
    8,398.87x = 11,588.04 × 5,416.42
  4. Step 4: Simplify right side
    8,398.87x = 62,765,627.85
  5. Step 5: Solve for x
    x = 62,765,627.85/8,398.87
  6. Step 6: Final answer
    x = 7,473.10

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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.