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Finding the Fourth Proportional to 7,772.67, 11,583.99 and 7,760.31

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Solution

The fourth proportional to 7,772.67, 11,583.99 and 7,760.31 is: 11,565.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.67 : 11,583.99 = 7,760.31 : x
  2. Step 2: Convert to fraction form
    7,772.67/11,583.99 = 7,760.31/x
  3. Step 3: Cross multiply
    7,772.67x = 11,583.99 × 7,760.31
  4. Step 4: Simplify right side
    7,772.67x = 89,895,353.44
  5. Step 5: Solve for x
    x = 89,895,353.44/7,772.67
  6. Step 6: Final answer
    x = 11,565.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.