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Finding the Fourth Proportional to 8,266.87, 11,408.16 and 4,490.20

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Solution

The fourth proportional to 8,266.87, 11,408.16 and 4,490.20 is: 6,196.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.87 : 11,408.16 = 4,490.20 : x
  2. Step 2: Convert to fraction form
    8,266.87/11,408.16 = 4,490.20/x
  3. Step 3: Cross multiply
    8,266.87x = 11,408.16 × 4,490.20
  4. Step 4: Simplify right side
    8,266.87x = 51,224,920.03
  5. Step 5: Solve for x
    x = 51,224,920.03/8,266.87
  6. Step 6: Final answer
    x = 6,196.41

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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.