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Finding the Fourth Proportional to 7,144.71, 10,717.05 and 3,246.38

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Solution

The fourth proportional to 7,144.71, 10,717.05 and 3,246.38 is: 4,869.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.71 : 10,717.05 = 3,246.38 : x
  2. Step 2: Convert to fraction form
    7,144.71/10,717.05 = 3,246.38/x
  3. Step 3: Cross multiply
    7,144.71x = 10,717.05 × 3,246.38
  4. Step 4: Simplify right side
    7,144.71x = 34,791,563.19
  5. Step 5: Solve for x
    x = 34,791,563.19/7,144.71
  6. Step 6: Final answer
    x = 4,869.56

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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.