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Finding the Fourth Proportional to 8,648.57, 11,934.34 and 5,659.67

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Solution

The fourth proportional to 8,648.57, 11,934.34 and 5,659.67 is: 7,809.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.57 : 11,934.34 = 5,659.67 : x
  2. Step 2: Convert to fraction form
    8,648.57/11,934.34 = 5,659.67/x
  3. Step 3: Cross multiply
    8,648.57x = 11,934.34 × 5,659.67
  4. Step 4: Simplify right side
    8,648.57x = 67,544,441.75
  5. Step 5: Solve for x
    x = 67,544,441.75/8,648.57
  6. Step 6: Final answer
    x = 7,809.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.