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Finding the Fourth Proportional to 1,842.83, 2,764.77 and 918.15

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Solution

The fourth proportional to 1,842.83, 2,764.77 and 918.15 is: 1,377.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.83 : 2,764.77 = 918.15 : x
  2. Step 2: Convert to fraction form
    1,842.83/2,764.77 = 918.15/x
  3. Step 3: Cross multiply
    1,842.83x = 2,764.77 × 918.15
  4. Step 4: Simplify right side
    1,842.83x = 2,538,473.58
  5. Step 5: Solve for x
    x = 2,538,473.58/1,842.83
  6. Step 6: Final answer
    x = 1,377.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.