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Finding the Fourth Proportional to 9,400, 12,972 and 5,208.52

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Solution

The fourth proportional to 9,400, 12,972 and 5,208.52 is: 7,187.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400 : 12,972 = 5,208.52 : x
  2. Step 2: Convert to fraction form
    9,400/12,972 = 5,208.52/x
  3. Step 3: Cross multiply
    9,400x = 12,972 × 5,208.52
  4. Step 4: Simplify right side
    9,400x = 67,564,921.44
  5. Step 5: Solve for x
    x = 67,564,921.44/9,400
  6. Step 6: Final answer
    x = 7,187.76

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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.