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Finding the Fourth Proportional to 7,978.21, 11,010.29 and 6,649.69

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Solution

The fourth proportional to 7,978.21, 11,010.29 and 6,649.69 is: 9,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.21 : 11,010.29 = 6,649.69 : x
  2. Step 2: Convert to fraction form
    7,978.21/11,010.29 = 6,649.69/x
  3. Step 3: Cross multiply
    7,978.21x = 11,010.29 × 6,649.69
  4. Step 4: Simplify right side
    7,978.21x = 73,215,015.31
  5. Step 5: Solve for x
    x = 73,215,015.31/7,978.21
  6. Step 6: Final answer
    x = 9,176.87

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1.5x scale

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.