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Finding the Fourth Proportional to 6,870.28, 9,481 and 3,726.48

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Solution

The fourth proportional to 6,870.28, 9,481 and 3,726.48 is: 5,142.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.28 : 9,481 = 3,726.48 : x
  2. Step 2: Convert to fraction form
    6,870.28/9,481 = 3,726.48/x
  3. Step 3: Cross multiply
    6,870.28x = 9,481 × 3,726.48
  4. Step 4: Simplify right side
    6,870.28x = 35,330,756.88
  5. Step 5: Solve for x
    x = 35,330,756.88/6,870.28
  6. Step 6: Final answer
    x = 5,142.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.