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Finding the Fourth Proportional to 7,071.53, 10,607.28 and 1,806.54

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Solution

The fourth proportional to 7,071.53, 10,607.28 and 1,806.54 is: 2,709.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.53 : 10,607.28 = 1,806.54 : x
  2. Step 2: Convert to fraction form
    7,071.53/10,607.28 = 1,806.54/x
  3. Step 3: Cross multiply
    7,071.53x = 10,607.28 × 1,806.54
  4. Step 4: Simplify right side
    7,071.53x = 19,162,475.61
  5. Step 5: Solve for x
    x = 19,162,475.61/7,071.53
  6. Step 6: Final answer
    x = 2,709.81

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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.