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Finding the Fourth Proportional to 9,325, 13,982.94 and 4,390.48

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Solution

The fourth proportional to 9,325, 13,982.94 and 4,390.48 is: 6,583.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,325 : 13,982.94 = 4,390.48 : x
  2. Step 2: Convert to fraction form
    9,325/13,982.94 = 4,390.48/x
  3. Step 3: Cross multiply
    9,325x = 13,982.94 × 4,390.48
  4. Step 4: Simplify right side
    9,325x = 61,391,818.41
  5. Step 5: Solve for x
    x = 61,391,818.41/9,325
  6. Step 6: Final answer
    x = 6,583.57

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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.