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Finding the Fourth Proportional to 36,431.53, 54,647 and 10,136.20

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Solution

The fourth proportional to 36,431.53, 54,647 and 10,136.20 is: 15,204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,431.53 : 54,647 = 10,136.20 : x
  2. Step 2: Convert to fraction form
    36,431.53/54,647 = 10,136.20/x
  3. Step 3: Cross multiply
    36,431.53x = 54,647 × 10,136.20
  4. Step 4: Simplify right side
    36,431.53x = 553,912,921.40
  5. Step 5: Solve for x
    x = 553,912,921.40/36,431.53
  6. Step 6: Final answer
    x = 15,204.22

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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.