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Finding the Fourth Proportional to 6,434.28, 9,653.04 and 1,817.28

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Solution

The fourth proportional to 6,434.28, 9,653.04 and 1,817.28 is: 2,726.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.28 : 9,653.04 = 1,817.28 : x
  2. Step 2: Convert to fraction form
    6,434.28/9,653.04 = 1,817.28/x
  3. Step 3: Cross multiply
    6,434.28x = 9,653.04 × 1,817.28
  4. Step 4: Simplify right side
    6,434.28x = 17,542,276.53
  5. Step 5: Solve for x
    x = 17,542,276.53/6,434.28
  6. Step 6: Final answer
    x = 2,726.38

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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.