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Finding the Fourth Proportional to 6,842.13, 10,259.10 and 3,325.22

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Solution

The fourth proportional to 6,842.13, 10,259.10 and 3,325.22 is: 4,985.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.13 : 10,259.10 = 3,325.22 : x
  2. Step 2: Convert to fraction form
    6,842.13/10,259.10 = 3,325.22/x
  3. Step 3: Cross multiply
    6,842.13x = 10,259.10 × 3,325.22
  4. Step 4: Simplify right side
    6,842.13x = 34,113,764.50
  5. Step 5: Solve for x
    x = 34,113,764.50/6,842.13
  6. Step 6: Final answer
    x = 4,985.84

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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.