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Finding the Fourth Proportional to 3,099.89, 4,649.94 and 991.94

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Solution

The fourth proportional to 3,099.89, 4,649.94 and 991.94 is: 1,487.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.89 : 4,649.94 = 991.94 : x
  2. Step 2: Convert to fraction form
    3,099.89/4,649.94 = 991.94/x
  3. Step 3: Cross multiply
    3,099.89x = 4,649.94 × 991.94
  4. Step 4: Simplify right side
    3,099.89x = 4,612,461.48
  5. Step 5: Solve for x
    x = 4,612,461.48/3,099.89
  6. Step 6: Final answer
    x = 1,487.95

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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.