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Finding the Fourth Proportional to 7,772.10, 10,729.71 and 5,964.90

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Solution

The fourth proportional to 7,772.10, 10,729.71 and 5,964.90 is: 8,234.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.10 : 10,729.71 = 5,964.90 : x
  2. Step 2: Convert to fraction form
    7,772.10/10,729.71 = 5,964.90/x
  3. Step 3: Cross multiply
    7,772.10x = 10,729.71 × 5,964.90
  4. Step 4: Simplify right side
    7,772.10x = 64,001,647.18
  5. Step 5: Solve for x
    x = 64,001,647.18/7,772.10
  6. Step 6: Final answer
    x = 8,234.79

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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.