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Finding the Fourth Proportional to 6,992.78, 9,650.26 and 4,009.20

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Solution

The fourth proportional to 6,992.78, 9,650.26 and 4,009.20 is: 5,532.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.78 : 9,650.26 = 4,009.20 : x
  2. Step 2: Convert to fraction form
    6,992.78/9,650.26 = 4,009.20/x
  3. Step 3: Cross multiply
    6,992.78x = 9,650.26 × 4,009.20
  4. Step 4: Simplify right side
    6,992.78x = 38,689,822.39
  5. Step 5: Solve for x
    x = 38,689,822.39/6,992.78
  6. Step 6: Final answer
    x = 5,532.82

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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.