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Finding the Fourth Proportional to 12,840, 17,719.20 and 6,952

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Solution

The fourth proportional to 12,840, 17,719.20 and 6,952 is: 9,593.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840 : 17,719.20 = 6,952 : x
  2. Step 2: Convert to fraction form
    12,840/17,719.20 = 6,952/x
  3. Step 3: Cross multiply
    12,840x = 17,719.20 × 6,952
  4. Step 4: Simplify right side
    12,840x = 123,183,878.40
  5. Step 5: Solve for x
    x = 123,183,878.40/12,840
  6. Step 6: Final answer
    x = 9,593.76

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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.