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Finding the Fourth Proportional to 7,143.16, 10,718.82 and 4,227.16

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Solution

The fourth proportional to 7,143.16, 10,718.82 and 4,227.16 is: 6,343.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.16 : 10,718.82 = 4,227.16 : x
  2. Step 2: Convert to fraction form
    7,143.16/10,718.82 = 4,227.16/x
  3. Step 3: Cross multiply
    7,143.16x = 10,718.82 × 4,227.16
  4. Step 4: Simplify right side
    7,143.16x = 45,310,167.15
  5. Step 5: Solve for x
    x = 45,310,167.15/7,143.16
  6. Step 6: Final answer
    x = 6,343.15

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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.