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Finding the Fourth Proportional to 12,085.72, 16,678.98 and 6,781

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Solution

The fourth proportional to 12,085.72, 16,678.98 and 6,781 is: 9,358.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.72 : 16,678.98 = 6,781 : x
  2. Step 2: Convert to fraction form
    12,085.72/16,678.98 = 6,781/x
  3. Step 3: Cross multiply
    12,085.72x = 16,678.98 × 6,781
  4. Step 4: Simplify right side
    12,085.72x = 113,100,163.38
  5. Step 5: Solve for x
    x = 113,100,163.38/12,085.72
  6. Step 6: Final answer
    x = 9,358.17

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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.