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Finding the Fourth Proportional to 2,708.49, 4,061.21 and 859.26

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Solution

The fourth proportional to 2,708.49, 4,061.21 and 859.26 is: 1,288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.49 : 4,061.21 = 859.26 : x
  2. Step 2: Convert to fraction form
    2,708.49/4,061.21 = 859.26/x
  3. Step 3: Cross multiply
    2,708.49x = 4,061.21 × 859.26
  4. Step 4: Simplify right side
    2,708.49x = 3,489,637.45
  5. Step 5: Solve for x
    x = 3,489,637.45/2,708.49
  6. Step 6: Final answer
    x = 1,288.41

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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.