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Finding the Fourth Proportional to 5,156, 7,116 and 3,166.72

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Solution

The fourth proportional to 5,156, 7,116 and 3,166.72 is: 4,370.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156 : 7,116 = 3,166.72 : x
  2. Step 2: Convert to fraction form
    5,156/7,116 = 3,166.72/x
  3. Step 3: Cross multiply
    5,156x = 7,116 × 3,166.72
  4. Step 4: Simplify right side
    5,156x = 22,534,379.52
  5. Step 5: Solve for x
    x = 22,534,379.52/5,156
  6. Step 6: Final answer
    x = 4,370.52

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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.