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Finding the Fourth Proportional to 1,982.32, 2,967.96 and 1,006.32

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Solution

The fourth proportional to 1,982.32, 2,967.96 and 1,006.32 is: 1,506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.32 : 2,967.96 = 1,006.32 : x
  2. Step 2: Convert to fraction form
    1,982.32/2,967.96 = 1,006.32/x
  3. Step 3: Cross multiply
    1,982.32x = 2,967.96 × 1,006.32
  4. Step 4: Simplify right side
    1,982.32x = 2,986,717.51
  5. Step 5: Solve for x
    x = 2,986,717.51/1,982.32
  6. Step 6: Final answer
    x = 1,506.68

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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.