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Finding the Fourth Proportional to 5,396.94, 7,447.64 and 3,039.10

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Solution

The fourth proportional to 5,396.94, 7,447.64 and 3,039.10 is: 4,193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.94 : 7,447.64 = 3,039.10 : x
  2. Step 2: Convert to fraction form
    5,396.94/7,447.64 = 3,039.10/x
  3. Step 3: Cross multiply
    5,396.94x = 7,447.64 × 3,039.10
  4. Step 4: Simplify right side
    5,396.94x = 22,634,122.72
  5. Step 5: Solve for x
    x = 22,634,122.72/5,396.94
  6. Step 6: Final answer
    x = 4,193.88

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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.