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Finding the Fourth Proportional to 8,278.76, 11,420.67 and 4,919.20

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Solution

The fourth proportional to 8,278.76, 11,420.67 and 4,919.20 is: 6,786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.76 : 11,420.67 = 4,919.20 : x
  2. Step 2: Convert to fraction form
    8,278.76/11,420.67 = 4,919.20/x
  3. Step 3: Cross multiply
    8,278.76x = 11,420.67 × 4,919.20
  4. Step 4: Simplify right side
    8,278.76x = 56,180,539.44
  5. Step 5: Solve for x
    x = 56,180,539.44/8,278.76
  6. Step 6: Final answer
    x = 6,786.10

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Half scale
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Double 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.