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Finding the Fourth Proportional to 7,136.07, 10,704.74 and 1,871.07

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Solution

The fourth proportional to 7,136.07, 10,704.74 and 1,871.07 is: 2,806.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.07 : 10,704.74 = 1,871.07 : x
  2. Step 2: Convert to fraction form
    7,136.07/10,704.74 = 1,871.07/x
  3. Step 3: Cross multiply
    7,136.07x = 10,704.74 × 1,871.07
  4. Step 4: Simplify right side
    7,136.07x = 20,029,317.87
  5. Step 5: Solve for x
    x = 20,029,317.87/7,136.07
  6. Step 6: Final answer
    x = 2,806.77

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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.