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Finding the Fourth Proportional to 1,966.97, 2,714.81 and 1,128.24

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Solution

The fourth proportional to 1,966.97, 2,714.81 and 1,128.24 is: 1,557.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.97 : 2,714.81 = 1,128.24 : x
  2. Step 2: Convert to fraction form
    1,966.97/2,714.81 = 1,128.24/x
  3. Step 3: Cross multiply
    1,966.97x = 2,714.81 × 1,128.24
  4. Step 4: Simplify right side
    1,966.97x = 3,062,947.13
  5. Step 5: Solve for x
    x = 3,062,947.13/1,966.97
  6. Step 6: Final answer
    x = 1,557.19

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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.