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Finding the Fourth Proportional to 11,649, 16,076.26 and 6,681.32

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Solution

The fourth proportional to 11,649, 16,076.26 and 6,681.32 is: 9,220.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649 : 16,076.26 = 6,681.32 : x
  2. Step 2: Convert to fraction form
    11,649/16,076.26 = 6,681.32/x
  3. Step 3: Cross multiply
    11,649x = 16,076.26 × 6,681.32
  4. Step 4: Simplify right side
    11,649x = 107,410,637.46
  5. Step 5: Solve for x
    x = 107,410,637.46/11,649
  6. Step 6: Final answer
    x = 9,220.59

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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.