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Finding the Fourth Proportional to 11,544, 17,298.38 and 6,854.78

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Solution

The fourth proportional to 11,544, 17,298.38 and 6,854.78 is: 10,271.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,544 : 17,298.38 = 6,854.78 : x
  2. Step 2: Convert to fraction form
    11,544/17,298.38 = 6,854.78/x
  3. Step 3: Cross multiply
    11,544x = 17,298.38 × 6,854.78
  4. Step 4: Simplify right side
    11,544x = 118,576,589.26
  5. Step 5: Solve for x
    x = 118,576,589.26/11,544
  6. Step 6: Final answer
    x = 10,271.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.