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Finding the Fourth Proportional to 2,586, 3,569.04 and 1,656.48

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Solution

The fourth proportional to 2,586, 3,569.04 and 1,656.48 is: 2,286.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586 : 3,569.04 = 1,656.48 : x
  2. Step 2: Convert to fraction form
    2,586/3,569.04 = 1,656.48/x
  3. Step 3: Cross multiply
    2,586x = 3,569.04 × 1,656.48
  4. Step 4: Simplify right side
    2,586x = 5,912,043.38
  5. Step 5: Solve for x
    x = 5,912,043.38/2,586
  6. Step 6: Final answer
    x = 2,286.17

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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.