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Finding the Fourth Proportional to 12,820, 17,691.60 and 6,932

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Solution

The fourth proportional to 12,820, 17,691.60 and 6,932 is: 9,566.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820 : 17,691.60 = 6,932 : x
  2. Step 2: Convert to fraction form
    12,820/17,691.60 = 6,932/x
  3. Step 3: Cross multiply
    12,820x = 17,691.60 × 6,932
  4. Step 4: Simplify right side
    12,820x = 122,638,171.20
  5. Step 5: Solve for x
    x = 122,638,171.20/12,820
  6. Step 6: Final answer
    x = 9,566.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.