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Finding the Fourth Proportional to 3,687, 5,088.06 and 2,031

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Solution

The fourth proportional to 3,687, 5,088.06 and 2,031 is: 2,802.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687 : 5,088.06 = 2,031 : x
  2. Step 2: Convert to fraction form
    3,687/5,088.06 = 2,031/x
  3. Step 3: Cross multiply
    3,687x = 5,088.06 × 2,031
  4. Step 4: Simplify right side
    3,687x = 10,333,849.86
  5. Step 5: Solve for x
    x = 10,333,849.86/3,687
  6. Step 6: Final answer
    x = 2,802.78

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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.