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Finding the Fourth Proportional to 2,980.29, 4,113.29 and 1,654.42

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Solution

The fourth proportional to 2,980.29, 4,113.29 and 1,654.42 is: 2,283.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.29 : 4,113.29 = 1,654.42 : x
  2. Step 2: Convert to fraction form
    2,980.29/4,113.29 = 1,654.42/x
  3. Step 3: Cross multiply
    2,980.29x = 4,113.29 × 1,654.42
  4. Step 4: Simplify right side
    2,980.29x = 6,805,109.24
  5. Step 5: Solve for x
    x = 6,805,109.24/2,980.29
  6. Step 6: Final answer
    x = 2,283.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.