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Finding the Fourth Proportional to 3,649.94, 5,440.23 and 3,442.37

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Solution

The fourth proportional to 3,649.94, 5,440.23 and 3,442.37 is: 5,130.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.94 : 5,440.23 = 3,442.37 : x
  2. Step 2: Convert to fraction form
    3,649.94/5,440.23 = 3,442.37/x
  3. Step 3: Cross multiply
    3,649.94x = 5,440.23 × 3,442.37
  4. Step 4: Simplify right side
    3,649.94x = 18,727,284.55
  5. Step 5: Solve for x
    x = 18,727,284.55/3,649.94
  6. Step 6: Final answer
    x = 5,130.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.