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Finding the Fourth Proportional to 11,553.12, 15,944.88 and 7,077.12

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Solution

The fourth proportional to 11,553.12, 15,944.88 and 7,077.12 is: 9,767.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,553.12 : 15,944.88 = 7,077.12 : x
  2. Step 2: Convert to fraction form
    11,553.12/15,944.88 = 7,077.12/x
  3. Step 3: Cross multiply
    11,553.12x = 15,944.88 × 7,077.12
  4. Step 4: Simplify right side
    11,553.12x = 112,843,829.15
  5. Step 5: Solve for x
    x = 112,843,829.15/11,553.12
  6. Step 6: Final answer
    x = 9,767.39

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Double scale
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Similar ratio
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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.