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Finding the Fourth Proportional to 7,210.80, 10,808.37 and 3,504.78

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Solution

The fourth proportional to 7,210.80, 10,808.37 and 3,504.78 is: 5,253.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210.80 : 10,808.37 = 3,504.78 : x
  2. Step 2: Convert to fraction form
    7,210.80/10,808.37 = 3,504.78/x
  3. Step 3: Cross multiply
    7,210.80x = 10,808.37 × 3,504.78
  4. Step 4: Simplify right side
    7,210.80x = 37,880,959.01
  5. Step 5: Solve for x
    x = 37,880,959.01/7,210.80
  6. Step 6: Final answer
    x = 5,253.36

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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.