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Finding the Fourth Proportional to 1,887.31, 2,831.14 and 637.88

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Solution

The fourth proportional to 1,887.31, 2,831.14 and 637.88 is: 956.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.31 : 2,831.14 = 637.88 : x
  2. Step 2: Convert to fraction form
    1,887.31/2,831.14 = 637.88/x
  3. Step 3: Cross multiply
    1,887.31x = 2,831.14 × 637.88
  4. Step 4: Simplify right side
    1,887.31x = 1,805,913.33
  5. Step 5: Solve for x
    x = 1,805,913.33/1,887.31
  6. Step 6: Final answer
    x = 956.87

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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.