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Finding the Fourth Proportional to 2,656.42, 3,984.36 and 708.82

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Solution

The fourth proportional to 2,656.42, 3,984.36 and 708.82 is: 1,063.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.42 : 3,984.36 = 708.82 : x
  2. Step 2: Convert to fraction form
    2,656.42/3,984.36 = 708.82/x
  3. Step 3: Cross multiply
    2,656.42x = 3,984.36 × 708.82
  4. Step 4: Simplify right side
    2,656.42x = 2,824,194.06
  5. Step 5: Solve for x
    x = 2,824,194.06/2,656.42
  6. Step 6: Final answer
    x = 1,063.16

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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.