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Finding the Fourth Proportional to 12,774.92, 17,628.44 and 9,195.53

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Solution

The fourth proportional to 12,774.92, 17,628.44 and 9,195.53 is: 12,689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.92 : 17,628.44 = 9,195.53 : x
  2. Step 2: Convert to fraction form
    12,774.92/17,628.44 = 9,195.53/x
  3. Step 3: Cross multiply
    12,774.92x = 17,628.44 × 9,195.53
  4. Step 4: Simplify right side
    12,774.92x = 162,102,714.75
  5. Step 5: Solve for x
    x = 162,102,714.75/12,774.92
  6. Step 6: Final answer
    x = 12,689.14

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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.