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Finding the Fourth Proportional to 9,191.79, 12,685.29 and 5,213.16

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Solution

The fourth proportional to 9,191.79, 12,685.29 and 5,213.16 is: 7,194.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.79 : 12,685.29 = 5,213.16 : x
  2. Step 2: Convert to fraction form
    9,191.79/12,685.29 = 5,213.16/x
  3. Step 3: Cross multiply
    9,191.79x = 12,685.29 × 5,213.16
  4. Step 4: Simplify right side
    9,191.79x = 66,130,446.42
  5. Step 5: Solve for x
    x = 66,130,446.42/9,191.79
  6. Step 6: Final answer
    x = 7,194.51

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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.