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Finding the Fourth Proportional to 1,568.80, 2,351.76 and 1,396

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Solution

The fourth proportional to 1,568.80, 2,351.76 and 1,396 is: 2,092.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.80 : 2,351.76 = 1,396 : x
  2. Step 2: Convert to fraction form
    1,568.80/2,351.76 = 1,396/x
  3. Step 3: Cross multiply
    1,568.80x = 2,351.76 × 1,396
  4. Step 4: Simplify right side
    1,568.80x = 3,283,056.96
  5. Step 5: Solve for x
    x = 3,283,056.96/1,568.80
  6. Step 6: Final answer
    x = 2,092.72

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Why These Related Problems?

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