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Finding the Fourth Proportional to 8,245.57, 11,374.94 and 5,411.80

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Solution

The fourth proportional to 8,245.57, 11,374.94 and 5,411.80 is: 7,465.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,245.57 : 11,374.94 = 5,411.80 : x
  2. Step 2: Convert to fraction form
    8,245.57/11,374.94 = 5,411.80/x
  3. Step 3: Cross multiply
    8,245.57x = 11,374.94 × 5,411.80
  4. Step 4: Simplify right side
    8,245.57x = 61,558,873.23
  5. Step 5: Solve for x
    x = 61,558,873.23/8,245.57
  6. Step 6: Final answer
    x = 7,465.69

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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.