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Finding the Fourth Proportional to 6,871.20, 10,297.20 and 5,102.40

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Solution

The fourth proportional to 6,871.20, 10,297.20 and 5,102.40 is: 7,646.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.20 : 10,297.20 = 5,102.40 : x
  2. Step 2: Convert to fraction form
    6,871.20/10,297.20 = 5,102.40/x
  3. Step 3: Cross multiply
    6,871.20x = 10,297.20 × 5,102.40
  4. Step 4: Simplify right side
    6,871.20x = 52,540,433.28
  5. Step 5: Solve for x
    x = 52,540,433.28/6,871.20
  6. Step 6: Final answer
    x = 7,646.47

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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.