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Finding the Fourth Proportional to 11,761.34, 16,228.05 and 6,978.92

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Solution

The fourth proportional to 11,761.34, 16,228.05 and 6,978.92 is: 9,629.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.34 : 16,228.05 = 6,978.92 : x
  2. Step 2: Convert to fraction form
    11,761.34/16,228.05 = 6,978.92/x
  3. Step 3: Cross multiply
    11,761.34x = 16,228.05 × 6,978.92
  4. Step 4: Simplify right side
    11,761.34x = 113,254,262.71
  5. Step 5: Solve for x
    x = 113,254,262.71/11,761.34
  6. Step 6: Final answer
    x = 9,629.37

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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.