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Finding the Fourth Proportional to 2,997.76, 4,136.61 and 1,818.76

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Solution

The fourth proportional to 2,997.76, 4,136.61 and 1,818.76 is: 2,509.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.76 : 4,136.61 = 1,818.76 : x
  2. Step 2: Convert to fraction form
    2,997.76/4,136.61 = 1,818.76/x
  3. Step 3: Cross multiply
    2,997.76x = 4,136.61 × 1,818.76
  4. Step 4: Simplify right side
    2,997.76x = 7,523,500.80
  5. Step 5: Solve for x
    x = 7,523,500.80/2,997.76
  6. Step 6: Final answer
    x = 2,509.71

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Find fourth proportional to 2,998.76, 4,137.99 and 1,819.76
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.