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Finding the Fourth Proportional to 3,144, 4,717.92 and 1,320

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Solution

The fourth proportional to 3,144, 4,717.92 and 1,320 is: 1,980.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144 : 4,717.92 = 1,320 : x
  2. Step 2: Convert to fraction form
    3,144/4,717.92 = 1,320/x
  3. Step 3: Cross multiply
    3,144x = 4,717.92 × 1,320
  4. Step 4: Simplify right side
    3,144x = 6,227,654.40
  5. Step 5: Solve for x
    x = 6,227,654.40/3,144
  6. Step 6: Final answer
    x = 1,980.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.