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Finding the Fourth Proportional to 2,509.51, 3,763.88 and 843.63

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Solution

The fourth proportional to 2,509.51, 3,763.88 and 843.63 is: 1,265.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.51 : 3,763.88 = 843.63 : x
  2. Step 2: Convert to fraction form
    2,509.51/3,763.88 = 843.63/x
  3. Step 3: Cross multiply
    2,509.51x = 3,763.88 × 843.63
  4. Step 4: Simplify right side
    2,509.51x = 3,175,313.39
  5. Step 5: Solve for x
    x = 3,175,313.39/2,509.51
  6. Step 6: Final answer
    x = 1,265.31

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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.