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Finding the Fourth Proportional to 1,357.74, 2,032.64 and 836.17

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Solution

The fourth proportional to 1,357.74, 2,032.64 and 836.17 is: 1,251.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.74 : 2,032.64 = 836.17 : x
  2. Step 2: Convert to fraction form
    1,357.74/2,032.64 = 836.17/x
  3. Step 3: Cross multiply
    1,357.74x = 2,032.64 × 836.17
  4. Step 4: Simplify right side
    1,357.74x = 1,699,628.41
  5. Step 5: Solve for x
    x = 1,699,628.41/1,357.74
  6. Step 6: Final answer
    x = 1,251.81

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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.