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Finding the Fourth Proportional to 7,770.64, 10,724.36 and 4,785.88

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Solution

The fourth proportional to 7,770.64, 10,724.36 and 4,785.88 is: 6,605.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.64 : 10,724.36 = 4,785.88 : x
  2. Step 2: Convert to fraction form
    7,770.64/10,724.36 = 4,785.88/x
  3. Step 3: Cross multiply
    7,770.64x = 10,724.36 × 4,785.88
  4. Step 4: Simplify right side
    7,770.64x = 51,325,500.04
  5. Step 5: Solve for x
    x = 51,325,500.04/7,770.64
  6. Step 6: Final answer
    x = 6,605.05

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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.