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Finding the Fourth Proportional to 1,980.29, 2,965.16 and 1,731.22

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Solution

The fourth proportional to 1,980.29, 2,965.16 and 1,731.22 is: 2,592.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.29 : 2,965.16 = 1,731.22 : x
  2. Step 2: Convert to fraction form
    1,980.29/2,965.16 = 1,731.22/x
  3. Step 3: Cross multiply
    1,980.29x = 2,965.16 × 1,731.22
  4. Step 4: Simplify right side
    1,980.29x = 5,133,341.21
  5. Step 5: Solve for x
    x = 5,133,341.21/1,980.29
  6. Step 6: Final answer
    x = 2,592.21

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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.