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Finding the Fourth Proportional to 12,085.56, 16,678.68 and 7,550.97

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Solution

The fourth proportional to 12,085.56, 16,678.68 and 7,550.97 is: 10,420.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.56 : 16,678.68 = 7,550.97 : x
  2. Step 2: Convert to fraction form
    12,085.56/16,678.68 = 7,550.97/x
  3. Step 3: Cross multiply
    12,085.56x = 16,678.68 × 7,550.97
  4. Step 4: Simplify right side
    12,085.56x = 125,940,212.32
  5. Step 5: Solve for x
    x = 125,940,212.32/12,085.56
  6. Step 6: Final answer
    x = 10,420.72

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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.