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Finding the Fourth Proportional to 11,489.42, 15,854.86 and 6,709.62

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Solution

The fourth proportional to 11,489.42, 15,854.86 and 6,709.62 is: 9,258.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489.42 : 15,854.86 = 6,709.62 : x
  2. Step 2: Convert to fraction form
    11,489.42/15,854.86 = 6,709.62/x
  3. Step 3: Cross multiply
    11,489.42x = 15,854.86 × 6,709.62
  4. Step 4: Simplify right side
    11,489.42x = 106,380,085.75
  5. Step 5: Solve for x
    x = 106,380,085.75/11,489.42
  6. Step 6: Final answer
    x = 9,258.96

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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.