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Finding the Fourth Proportional to 5,156.66, 7,735.02 and 2,194.34

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Solution

The fourth proportional to 5,156.66, 7,735.02 and 2,194.34 is: 3,291.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.66 : 7,735.02 = 2,194.34 : x
  2. Step 2: Convert to fraction form
    5,156.66/7,735.02 = 2,194.34/x
  3. Step 3: Cross multiply
    5,156.66x = 7,735.02 × 2,194.34
  4. Step 4: Simplify right side
    5,156.66x = 16,973,263.79
  5. Step 5: Solve for x
    x = 16,973,263.79/5,156.66
  6. Step 6: Final answer
    x = 3,291.52

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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.