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Finding the Fourth Proportional to 5,214.42, 7,821.63 and 2,136.42

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Solution

The fourth proportional to 5,214.42, 7,821.63 and 2,136.42 is: 3,204.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.42 : 7,821.63 = 2,136.42 : x
  2. Step 2: Convert to fraction form
    5,214.42/7,821.63 = 2,136.42/x
  3. Step 3: Cross multiply
    5,214.42x = 7,821.63 × 2,136.42
  4. Step 4: Simplify right side
    5,214.42x = 16,710,286.76
  5. Step 5: Solve for x
    x = 16,710,286.76/5,214.42
  6. Step 6: Final answer
    x = 3,204.63

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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.