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Finding the Fourth Proportional to 1,887.30, 2,831.27 and 638.19

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Solution

The fourth proportional to 1,887.30, 2,831.27 and 638.19 is: 957.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.30 : 2,831.27 = 638.19 : x
  2. Step 2: Convert to fraction form
    1,887.30/2,831.27 = 638.19/x
  3. Step 3: Cross multiply
    1,887.30x = 2,831.27 × 638.19
  4. Step 4: Simplify right side
    1,887.30x = 1,806,885.01
  5. Step 5: Solve for x
    x = 1,806,885.01/1,887.30
  6. Step 6: Final answer
    x = 957.39

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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.