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Finding the Fourth Proportional to 6,685.28, 10,028 and 2,302.78

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Solution

The fourth proportional to 6,685.28, 10,028 and 2,302.78 is: 3,454.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.28 : 10,028 = 2,302.78 : x
  2. Step 2: Convert to fraction form
    6,685.28/10,028 = 2,302.78/x
  3. Step 3: Cross multiply
    6,685.28x = 10,028 × 2,302.78
  4. Step 4: Simplify right side
    6,685.28x = 23,092,277.84
  5. Step 5: Solve for x
    x = 23,092,277.84/6,685.28
  6. Step 6: Final answer
    x = 3,454.20

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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.