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Finding the Fourth Proportional to 11,344.48, 15,648.87 and 9,419.41

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Solution

The fourth proportional to 11,344.48, 15,648.87 and 9,419.41 is: 12,993.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,344.48 : 15,648.87 = 9,419.41 : x
  2. Step 2: Convert to fraction form
    11,344.48/15,648.87 = 9,419.41/x
  3. Step 3: Cross multiply
    11,344.48x = 15,648.87 × 9,419.41
  4. Step 4: Simplify right side
    11,344.48x = 147,403,083.44
  5. Step 5: Solve for x
    x = 147,403,083.44/11,344.48
  6. Step 6: Final answer
    x = 12,993.38

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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.