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Finding the Fourth Proportional to 1,876.15, 2,812.27 and 835.91

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Solution

The fourth proportional to 1,876.15, 2,812.27 and 835.91 is: 1,252.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.15 : 2,812.27 = 835.91 : x
  2. Step 2: Convert to fraction form
    1,876.15/2,812.27 = 835.91/x
  3. Step 3: Cross multiply
    1,876.15x = 2,812.27 × 835.91
  4. Step 4: Simplify right side
    1,876.15x = 2,350,804.62
  5. Step 5: Solve for x
    x = 2,350,804.62/1,876.15
  6. Step 6: Final answer
    x = 1,252.99

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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.