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Finding the Fourth Proportional to 7,803.87, 11,695.45 and 3,416.55

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Solution

The fourth proportional to 7,803.87, 11,695.45 and 3,416.55 is: 5,120.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.87 : 11,695.45 = 3,416.55 : x
  2. Step 2: Convert to fraction form
    7,803.87/11,695.45 = 3,416.55/x
  3. Step 3: Cross multiply
    7,803.87x = 11,695.45 × 3,416.55
  4. Step 4: Simplify right side
    7,803.87x = 39,958,089.70
  5. Step 5: Solve for x
    x = 39,958,089.70/7,803.87
  6. Step 6: Final answer
    x = 5,120.29

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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.