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Finding the Fourth Proportional to 7,200.74, 10,803 and 2,270.54

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Solution

The fourth proportional to 7,200.74, 10,803 and 2,270.54 is: 3,406.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,200.74 : 10,803 = 2,270.54 : x
  2. Step 2: Convert to fraction form
    7,200.74/10,803 = 2,270.54/x
  3. Step 3: Cross multiply
    7,200.74x = 10,803 × 2,270.54
  4. Step 4: Simplify right side
    7,200.74x = 24,528,643.62
  5. Step 5: Solve for x
    x = 24,528,643.62/7,200.74
  6. Step 6: Final answer
    x = 3,406.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.