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Finding the Fourth Proportional to 2,509, 3,763.12 and 1,581.75

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Solution

The fourth proportional to 2,509, 3,763.12 and 1,581.75 is: 2,372.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509 : 3,763.12 = 1,581.75 : x
  2. Step 2: Convert to fraction form
    2,509/3,763.12 = 1,581.75/x
  3. Step 3: Cross multiply
    2,509x = 3,763.12 × 1,581.75
  4. Step 4: Simplify right side
    2,509x = 5,952,315.06
  5. Step 5: Solve for x
    x = 5,952,315.06/2,509
  6. Step 6: Final answer
    x = 2,372.39

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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.