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Finding the Fourth Proportional to 3,099.46, 4,649.22 and 790.96

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Solution

The fourth proportional to 3,099.46, 4,649.22 and 790.96 is: 1,186.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.46 : 4,649.22 = 790.96 : x
  2. Step 2: Convert to fraction form
    3,099.46/4,649.22 = 790.96/x
  3. Step 3: Cross multiply
    3,099.46x = 4,649.22 × 790.96
  4. Step 4: Simplify right side
    3,099.46x = 3,677,347.05
  5. Step 5: Solve for x
    x = 3,677,347.05/3,099.46
  6. Step 6: Final answer
    x = 1,186.45

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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.