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Finding the Fourth Proportional to 11,496.84, 15,845.22 and 9,899.40

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Solution

The fourth proportional to 11,496.84, 15,845.22 and 9,899.40 is: 13,643.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.84 : 15,845.22 = 9,899.40 : x
  2. Step 2: Convert to fraction form
    11,496.84/15,845.22 = 9,899.40/x
  3. Step 3: Cross multiply
    11,496.84x = 15,845.22 × 9,899.40
  4. Step 4: Simplify right side
    11,496.84x = 156,858,170.87
  5. Step 5: Solve for x
    x = 156,858,170.87/11,496.84
  6. Step 6: Final answer
    x = 13,643.59

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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.