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Finding the Fourth Proportional to 12,155.75, 16,774.94 and 6,566.75

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Solution

The fourth proportional to 12,155.75, 16,774.94 and 6,566.75 is: 9,062.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,155.75 : 16,774.94 = 6,566.75 : x
  2. Step 2: Convert to fraction form
    12,155.75/16,774.94 = 6,566.75/x
  3. Step 3: Cross multiply
    12,155.75x = 16,774.94 × 6,566.75
  4. Step 4: Simplify right side
    12,155.75x = 110,156,804.41
  5. Step 5: Solve for x
    x = 110,156,804.41/12,155.75
  6. Step 6: Final answer
    x = 9,062.12

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1.5x scale

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.