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Finding the Fourth Proportional to 2,088.34, 3,131.72 and 627

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Solution

The fourth proportional to 2,088.34, 3,131.72 and 627 is: 940.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.34 : 3,131.72 = 627 : x
  2. Step 2: Convert to fraction form
    2,088.34/3,131.72 = 627/x
  3. Step 3: Cross multiply
    2,088.34x = 3,131.72 × 627
  4. Step 4: Simplify right side
    2,088.34x = 1,963,588.44
  5. Step 5: Solve for x
    x = 1,963,588.44/2,088.34
  6. Step 6: Final answer
    x = 940.26

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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.