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Finding the Fourth Proportional to 11,297, 15,591 and 6,261.68

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Solution

The fourth proportional to 11,297, 15,591 and 6,261.68 is: 8,641.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297 : 15,591 = 6,261.68 : x
  2. Step 2: Convert to fraction form
    11,297/15,591 = 6,261.68/x
  3. Step 3: Cross multiply
    11,297x = 15,591 × 6,261.68
  4. Step 4: Simplify right side
    11,297x = 97,625,852.88
  5. Step 5: Solve for x
    x = 97,625,852.88/11,297
  6. Step 6: Final answer
    x = 8,641.75

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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.