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Finding the Fourth Proportional to 8,191.89, 11,306.07 and 4,835.07

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Solution

The fourth proportional to 8,191.89, 11,306.07 and 4,835.07 is: 6,673.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.89 : 11,306.07 = 4,835.07 : x
  2. Step 2: Convert to fraction form
    8,191.89/11,306.07 = 4,835.07/x
  3. Step 3: Cross multiply
    8,191.89x = 11,306.07 × 4,835.07
  4. Step 4: Simplify right side
    8,191.89x = 54,665,639.87
  5. Step 5: Solve for x
    x = 54,665,639.87/8,191.89
  6. Step 6: Final answer
    x = 6,673.14

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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.