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Finding the Fourth Proportional to 7,772.04, 11,658.87 and 2,578.32

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Solution

The fourth proportional to 7,772.04, 11,658.87 and 2,578.32 is: 3,867.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.04 : 11,658.87 = 2,578.32 : x
  2. Step 2: Convert to fraction form
    7,772.04/11,658.87 = 2,578.32/x
  3. Step 3: Cross multiply
    7,772.04x = 11,658.87 × 2,578.32
  4. Step 4: Simplify right side
    7,772.04x = 30,060,297.70
  5. Step 5: Solve for x
    x = 30,060,297.70/7,772.04
  6. Step 6: Final answer
    x = 3,867.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.