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Finding the Fourth Proportional to 2,005.24, 3,006.32 and 965.40

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Solution

The fourth proportional to 2,005.24, 3,006.32 and 965.40 is: 1,447.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.24 : 3,006.32 = 965.40 : x
  2. Step 2: Convert to fraction form
    2,005.24/3,006.32 = 965.40/x
  3. Step 3: Cross multiply
    2,005.24x = 3,006.32 × 965.40
  4. Step 4: Simplify right side
    2,005.24x = 2,902,301.33
  5. Step 5: Solve for x
    x = 2,902,301.33/2,005.24
  6. Step 6: Final answer
    x = 1,447.36

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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.