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Finding the Fourth Proportional to 9,815.70, 13,493.44 and 8,448

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Solution

The fourth proportional to 9,815.70, 13,493.44 and 8,448 is: 11,613.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.70 : 13,493.44 = 8,448 : x
  2. Step 2: Convert to fraction form
    9,815.70/13,493.44 = 8,448/x
  3. Step 3: Cross multiply
    9,815.70x = 13,493.44 × 8,448
  4. Step 4: Simplify right side
    9,815.70x = 113,992,581.12
  5. Step 5: Solve for x
    x = 113,992,581.12/9,815.70
  6. Step 6: Final answer
    x = 11,613.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.