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Finding the Fourth Proportional to 6,726.36, 9,243.42 and 6,417.66

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Solution

The fourth proportional to 6,726.36, 9,243.42 and 6,417.66 is: 8,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,726.36 : 9,243.42 = 6,417.66 : x
  2. Step 2: Convert to fraction form
    6,726.36/9,243.42 = 6,417.66/x
  3. Step 3: Cross multiply
    6,726.36x = 9,243.42 × 6,417.66
  4. Step 4: Simplify right side
    6,726.36x = 59,321,137.39
  5. Step 5: Solve for x
    x = 59,321,137.39/6,726.36
  6. Step 6: Final answer
    x = 8,819.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.