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Finding the Fourth Proportional to 4,661.28, 6,985.20 and 2,469.28

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Solution

The fourth proportional to 4,661.28, 6,985.20 and 2,469.28 is: 3,700.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.28 : 6,985.20 = 2,469.28 : x
  2. Step 2: Convert to fraction form
    4,661.28/6,985.20 = 2,469.28/x
  3. Step 3: Cross multiply
    4,661.28x = 6,985.20 × 2,469.28
  4. Step 4: Simplify right side
    4,661.28x = 17,248,414.66
  5. Step 5: Solve for x
    x = 17,248,414.66/4,661.28
  6. Step 6: Final answer
    x = 3,700.36

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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.