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Finding the Fourth Proportional to 11,489.40, 15,854.07 and 6,452.94

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Solution

The fourth proportional to 11,489.40, 15,854.07 and 6,452.94 is: 8,904.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489.40 : 15,854.07 = 6,452.94 : x
  2. Step 2: Convert to fraction form
    11,489.40/15,854.07 = 6,452.94/x
  3. Step 3: Cross multiply
    11,489.40x = 15,854.07 × 6,452.94
  4. Step 4: Simplify right side
    11,489.40x = 102,305,362.47
  5. Step 5: Solve for x
    x = 102,305,362.47/11,489.40
  6. Step 6: Final answer
    x = 8,904.33

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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.