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Finding the Fourth Proportional to 7,774.97, 11,650.94 and 6,398.09

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Solution

The fourth proportional to 7,774.97, 11,650.94 and 6,398.09 is: 9,587.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.97 : 11,650.94 = 6,398.09 : x
  2. Step 2: Convert to fraction form
    7,774.97/11,650.94 = 6,398.09/x
  3. Step 3: Cross multiply
    7,774.97x = 11,650.94 × 6,398.09
  4. Step 4: Simplify right side
    7,774.97x = 74,543,730.71
  5. Step 5: Solve for x
    x = 74,543,730.71/7,774.97
  6. Step 6: Final answer
    x = 9,587.66

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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.