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Finding the Fourth Proportional to 2,000.25, 3,000.38 and 632.25

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Solution

The fourth proportional to 2,000.25, 3,000.38 and 632.25 is: 948.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.25 : 3,000.38 = 632.25 : x
  2. Step 2: Convert to fraction form
    2,000.25/3,000.38 = 632.25/x
  3. Step 3: Cross multiply
    2,000.25x = 3,000.38 × 632.25
  4. Step 4: Simplify right side
    2,000.25x = 1,896,987.09
  5. Step 5: Solve for x
    x = 1,896,987.09/2,000.25
  6. Step 6: Final answer
    x = 948.38

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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.