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Finding the Fourth Proportional to 2,005.26, 3,007.88 and 637.26

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Solution

The fourth proportional to 2,005.26, 3,007.88 and 637.26 is: 955.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.26 : 3,007.88 = 637.26 : x
  2. Step 2: Convert to fraction form
    2,005.26/3,007.88 = 637.26/x
  3. Step 3: Cross multiply
    2,005.26x = 3,007.88 × 637.26
  4. Step 4: Simplify right side
    2,005.26x = 1,916,801.61
  5. Step 5: Solve for x
    x = 1,916,801.61/2,005.26
  6. Step 6: Final answer
    x = 955.89

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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.