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Finding the Fourth Proportional to 6,614, 9,127.44 and 3,820.40

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Solution

The fourth proportional to 6,614, 9,127.44 and 3,820.40 is: 5,272.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614 : 9,127.44 = 3,820.40 : x
  2. Step 2: Convert to fraction form
    6,614/9,127.44 = 3,820.40/x
  3. Step 3: Cross multiply
    6,614x = 9,127.44 × 3,820.40
  4. Step 4: Simplify right side
    6,614x = 34,870,471.78
  5. Step 5: Solve for x
    x = 34,870,471.78/6,614
  6. Step 6: Final answer
    x = 5,272.22

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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.