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Finding the Fourth Proportional to 1,359.38, 2,035.10 and 837.81

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Solution

The fourth proportional to 1,359.38, 2,035.10 and 837.81 is: 1,254.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.38 : 2,035.10 = 837.81 : x
  2. Step 2: Convert to fraction form
    1,359.38/2,035.10 = 837.81/x
  3. Step 3: Cross multiply
    1,359.38x = 2,035.10 × 837.81
  4. Step 4: Simplify right side
    1,359.38x = 1,705,022.94
  5. Step 5: Solve for x
    x = 1,705,022.94/1,359.38
  6. Step 6: Final answer
    x = 1,254.27

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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.