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Finding the Fourth Proportional to 8,735.59, 13,078.12 and 7,834.19

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Solution

The fourth proportional to 8,735.59, 13,078.12 and 7,834.19 is: 11,728.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.59 : 13,078.12 = 7,834.19 : x
  2. Step 2: Convert to fraction form
    8,735.59/13,078.12 = 7,834.19/x
  3. Step 3: Cross multiply
    8,735.59x = 13,078.12 × 7,834.19
  4. Step 4: Simplify right side
    8,735.59x = 102,456,476.92
  5. Step 5: Solve for x
    x = 102,456,476.92/8,735.59
  6. Step 6: Final answer
    x = 11,728.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.