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Finding the Fourth Proportional to 12,155.57, 16,774.69 and 6,566.57

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Solution

The fourth proportional to 12,155.57, 16,774.69 and 6,566.57 is: 9,061.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,155.57 : 16,774.69 = 6,566.57 : x
  2. Step 2: Convert to fraction form
    12,155.57/16,774.69 = 6,566.57/x
  3. Step 3: Cross multiply
    12,155.57x = 16,774.69 × 6,566.57
  4. Step 4: Simplify right side
    12,155.57x = 110,152,092.24
  5. Step 5: Solve for x
    x = 110,152,092.24/12,155.57
  6. Step 6: Final answer
    x = 9,061.87

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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.