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Finding the Fourth Proportional to 7,805.58, 11,651.21 and 6,772.74

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Solution

The fourth proportional to 7,805.58, 11,651.21 and 6,772.74 is: 10,109.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.58 : 11,651.21 = 6,772.74 : x
  2. Step 2: Convert to fraction form
    7,805.58/11,651.21 = 6,772.74/x
  3. Step 3: Cross multiply
    7,805.58x = 11,651.21 × 6,772.74
  4. Step 4: Simplify right side
    7,805.58x = 78,910,582.15
  5. Step 5: Solve for x
    x = 78,910,582.15/7,805.58
  6. Step 6: Final answer
    x = 10,109.51

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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.