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Finding the Fourth Proportional to 9,186, 13,781.76 and 6,522.72

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Solution

The fourth proportional to 9,186, 13,781.76 and 6,522.72 is: 9,786.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186 : 13,781.76 = 6,522.72 : x
  2. Step 2: Convert to fraction form
    9,186/13,781.76 = 6,522.72/x
  3. Step 3: Cross multiply
    9,186x = 13,781.76 × 6,522.72
  4. Step 4: Simplify right side
    9,186x = 89,894,561.59
  5. Step 5: Solve for x
    x = 89,894,561.59/9,186
  6. Step 6: Final answer
    x = 9,786.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.