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Finding the Fourth Proportional to 7,803.89, 10,768.62 and 4,446.62

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Solution

The fourth proportional to 7,803.89, 10,768.62 and 4,446.62 is: 6,135.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.89 : 10,768.62 = 4,446.62 : x
  2. Step 2: Convert to fraction form
    7,803.89/10,768.62 = 4,446.62/x
  3. Step 3: Cross multiply
    7,803.89x = 10,768.62 × 4,446.62
  4. Step 4: Simplify right side
    7,803.89x = 47,883,964.28
  5. Step 5: Solve for x
    x = 47,883,964.28/7,803.89
  6. Step 6: Final answer
    x = 6,135.91

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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.