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Finding the Fourth Proportional to 2,011.68, 2,772.36 and 1,568.88

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Solution

The fourth proportional to 2,011.68, 2,772.36 and 1,568.88 is: 2,162.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.68 : 2,772.36 = 1,568.88 : x
  2. Step 2: Convert to fraction form
    2,011.68/2,772.36 = 1,568.88/x
  3. Step 3: Cross multiply
    2,011.68x = 2,772.36 × 1,568.88
  4. Step 4: Simplify right side
    2,011.68x = 4,349,500.16
  5. Step 5: Solve for x
    x = 4,349,500.16/2,011.68
  6. Step 6: Final answer
    x = 2,162.12

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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.