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Finding the Fourth Proportional to 2,118.37, 3,177.54 and 637.58

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Solution

The fourth proportional to 2,118.37, 3,177.54 and 637.58 is: 956.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.37 : 3,177.54 = 637.58 : x
  2. Step 2: Convert to fraction form
    2,118.37/3,177.54 = 637.58/x
  3. Step 3: Cross multiply
    2,118.37x = 3,177.54 × 637.58
  4. Step 4: Simplify right side
    2,118.37x = 2,025,943.09
  5. Step 5: Solve for x
    x = 2,025,943.09/2,118.37
  6. Step 6: Final answer
    x = 956.37

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1.5x scale

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.