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Finding the Fourth Proportional to 4,099.95, 5,650.43 and 2,978.93

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Solution

The fourth proportional to 4,099.95, 5,650.43 and 2,978.93 is: 4,105.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.95 : 5,650.43 = 2,978.93 : x
  2. Step 2: Convert to fraction form
    4,099.95/5,650.43 = 2,978.93/x
  3. Step 3: Cross multiply
    4,099.95x = 5,650.43 × 2,978.93
  4. Step 4: Simplify right side
    4,099.95x = 16,832,192.29
  5. Step 5: Solve for x
    x = 16,832,192.29/4,099.95
  6. Step 6: Final answer
    x = 4,105.46

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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.