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Finding the Fourth Proportional to 6,708.80, 10,055.10 and 3,420.20

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Solution

The fourth proportional to 6,708.80, 10,055.10 and 3,420.20 is: 5,126.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708.80 : 10,055.10 = 3,420.20 : x
  2. Step 2: Convert to fraction form
    6,708.80/10,055.10 = 3,420.20/x
  3. Step 3: Cross multiply
    6,708.80x = 10,055.10 × 3,420.20
  4. Step 4: Simplify right side
    6,708.80x = 34,390,453.02
  5. Step 5: Solve for x
    x = 34,390,453.02/6,708.80
  6. Step 6: Final answer
    x = 5,126.17

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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.