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Finding the Fourth Proportional to 7,856.75, 11,790.75 and 2,859.12

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Solution

The fourth proportional to 7,856.75, 11,790.75 and 2,859.12 is: 4,290.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.75 : 11,790.75 = 2,859.12 : x
  2. Step 2: Convert to fraction form
    7,856.75/11,790.75 = 2,859.12/x
  3. Step 3: Cross multiply
    7,856.75x = 11,790.75 × 2,859.12
  4. Step 4: Simplify right side
    7,856.75x = 33,711,095.89
  5. Step 5: Solve for x
    x = 33,711,095.89/7,856.75
  6. Step 6: Final answer
    x = 4,290.72

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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.