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Finding the Fourth Proportional to 2,007.76, 2,772.04 and 1,262.87

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Solution

The fourth proportional to 2,007.76, 2,772.04 and 1,262.87 is: 1,743.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.76 : 2,772.04 = 1,262.87 : x
  2. Step 2: Convert to fraction form
    2,007.76/2,772.04 = 1,262.87/x
  3. Step 3: Cross multiply
    2,007.76x = 2,772.04 × 1,262.87
  4. Step 4: Simplify right side
    2,007.76x = 3,500,712.29
  5. Step 5: Solve for x
    x = 3,500,712.29/2,007.76
  6. Step 6: Final answer
    x = 1,743.59

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1.5x scale

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.