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Finding the Fourth Proportional to 8,491.60, 11,719.38 and 8,219.44

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Solution

The fourth proportional to 8,491.60, 11,719.38 and 8,219.44 is: 11,343.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.60 : 11,719.38 = 8,219.44 : x
  2. Step 2: Convert to fraction form
    8,491.60/11,719.38 = 8,219.44/x
  3. Step 3: Cross multiply
    8,491.60x = 11,719.38 × 8,219.44
  4. Step 4: Simplify right side
    8,491.60x = 96,326,740.75
  5. Step 5: Solve for x
    x = 96,326,740.75/8,491.60
  6. Step 6: Final answer
    x = 11,343.77

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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.