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Finding the Fourth Proportional to 7,226.12, 9,973.38 and 4,571.72

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Solution

The fourth proportional to 7,226.12, 9,973.38 and 4,571.72 is: 6,309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.12 : 9,973.38 = 4,571.72 : x
  2. Step 2: Convert to fraction form
    7,226.12/9,973.38 = 4,571.72/x
  3. Step 3: Cross multiply
    7,226.12x = 9,973.38 × 4,571.72
  4. Step 4: Simplify right side
    7,226.12x = 45,595,500.81
  5. Step 5: Solve for x
    x = 45,595,500.81/7,226.12
  6. Step 6: Final answer
    x = 6,309.82

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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.