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Finding the Fourth Proportional to 5,656.64, 7,806.22 and 3,138.80

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Solution

The fourth proportional to 5,656.64, 7,806.22 and 3,138.80 is: 4,331.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.64 : 7,806.22 = 3,138.80 : x
  2. Step 2: Convert to fraction form
    5,656.64/7,806.22 = 3,138.80/x
  3. Step 3: Cross multiply
    5,656.64x = 7,806.22 × 3,138.80
  4. Step 4: Simplify right side
    5,656.64x = 24,502,163.34
  5. Step 5: Solve for x
    x = 24,502,163.34/5,656.64
  6. Step 6: Final answer
    x = 4,331.58

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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.