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Finding the Fourth Proportional to 3,086.51, 4,259.49 and 1,760.23

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Solution

The fourth proportional to 3,086.51, 4,259.49 and 1,760.23 is: 2,429.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.51 : 4,259.49 = 1,760.23 : x
  2. Step 2: Convert to fraction form
    3,086.51/4,259.49 = 1,760.23/x
  3. Step 3: Cross multiply
    3,086.51x = 4,259.49 × 1,760.23
  4. Step 4: Simplify right side
    3,086.51x = 7,497,680.81
  5. Step 5: Solve for x
    x = 7,497,680.81/3,086.51
  6. Step 6: Final answer
    x = 2,429.18

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Half scale
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Find fourth proportional to 3,087.51, 4,260.87 and 1,761.23
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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.