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Finding the Fourth Proportional to 7,763, 10,712.84 and 4,226.16

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Solution

The fourth proportional to 7,763, 10,712.84 and 4,226.16 is: 5,832.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763 : 10,712.84 = 4,226.16 : x
  2. Step 2: Convert to fraction form
    7,763/10,712.84 = 4,226.16/x
  3. Step 3: Cross multiply
    7,763x = 10,712.84 × 4,226.16
  4. Step 4: Simplify right side
    7,763x = 45,274,175.89
  5. Step 5: Solve for x
    x = 45,274,175.89/7,763
  6. Step 6: Final answer
    x = 5,832.05

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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.