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Finding the Fourth Proportional to 1,842.68, 2,542.77 and 1,086.77

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Solution

The fourth proportional to 1,842.68, 2,542.77 and 1,086.77 is: 1,499.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.68 : 2,542.77 = 1,086.77 : x
  2. Step 2: Convert to fraction form
    1,842.68/2,542.77 = 1,086.77/x
  3. Step 3: Cross multiply
    1,842.68x = 2,542.77 × 1,086.77
  4. Step 4: Simplify right side
    1,842.68x = 2,763,393.44
  5. Step 5: Solve for x
    x = 2,763,393.44/1,842.68
  6. Step 6: Final answer
    x = 1,499.66

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Half scale
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Double scale
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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.