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Finding the Fourth Proportional to 5,225.68, 7,212.42 and 3,964.51

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Solution

The fourth proportional to 5,225.68, 7,212.42 and 3,964.51 is: 5,471.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.68 : 7,212.42 = 3,964.51 : x
  2. Step 2: Convert to fraction form
    5,225.68/7,212.42 = 3,964.51/x
  3. Step 3: Cross multiply
    5,225.68x = 7,212.42 × 3,964.51
  4. Step 4: Simplify right side
    5,225.68x = 28,593,711.21
  5. Step 5: Solve for x
    x = 28,593,711.21/5,225.68
  6. Step 6: Final answer
    x = 5,471.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.