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Finding the Fourth Proportional to 9,186, 12,667.68 and 5,601.36

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Solution

The fourth proportional to 9,186, 12,667.68 and 5,601.36 is: 7,724.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186 : 12,667.68 = 5,601.36 : x
  2. Step 2: Convert to fraction form
    9,186/12,667.68 = 5,601.36/x
  3. Step 3: Cross multiply
    9,186x = 12,667.68 × 5,601.36
  4. Step 4: Simplify right side
    9,186x = 70,956,236.04
  5. Step 5: Solve for x
    x = 70,956,236.04/9,186
  6. Step 6: Final answer
    x = 7,724.39

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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.