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Finding the Fourth Proportional to 7,240.87, 9,997.05 and 4,975.98

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Solution

The fourth proportional to 7,240.87, 9,997.05 and 4,975.98 is: 6,870.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,240.87 : 9,997.05 = 4,975.98 : x
  2. Step 2: Convert to fraction form
    7,240.87/9,997.05 = 4,975.98/x
  3. Step 3: Cross multiply
    7,240.87x = 9,997.05 × 4,975.98
  4. Step 4: Simplify right side
    7,240.87x = 49,745,120.86
  5. Step 5: Solve for x
    x = 49,745,120.86/7,240.87
  6. Step 6: Final answer
    x = 6,870.05

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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.