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Finding the Fourth Proportional to 7,014.47, 9,679.97 and 3,827.79

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Solution

The fourth proportional to 7,014.47, 9,679.97 and 3,827.79 is: 5,282.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.47 : 9,679.97 = 3,827.79 : x
  2. Step 2: Convert to fraction form
    7,014.47/9,679.97 = 3,827.79/x
  3. Step 3: Cross multiply
    7,014.47x = 9,679.97 × 3,827.79
  4. Step 4: Simplify right side
    7,014.47x = 37,052,901.94
  5. Step 5: Solve for x
    x = 37,052,901.94/7,014.47
  6. Step 6: Final answer
    x = 5,282.36

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1.5x scale

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.