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Finding the Fourth Proportional to 2,579.75, 3,562.07 and 1,585.47

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Solution

The fourth proportional to 2,579.75, 3,562.07 and 1,585.47 is: 2,189.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.75 : 3,562.07 = 1,585.47 : x
  2. Step 2: Convert to fraction form
    2,579.75/3,562.07 = 1,585.47/x
  3. Step 3: Cross multiply
    2,579.75x = 3,562.07 × 1,585.47
  4. Step 4: Simplify right side
    2,579.75x = 5,647,547.20
  5. Step 5: Solve for x
    x = 5,647,547.20/2,579.75
  6. Step 6: Final answer
    x = 2,189.19

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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.