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Finding the Fourth Proportional to 8,612.08, 11,896.20 and 6,940

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Solution

The fourth proportional to 8,612.08, 11,896.20 and 6,940 is: 9,586.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,612.08 : 11,896.20 = 6,940 : x
  2. Step 2: Convert to fraction form
    8,612.08/11,896.20 = 6,940/x
  3. Step 3: Cross multiply
    8,612.08x = 11,896.20 × 6,940
  4. Step 4: Simplify right side
    8,612.08x = 82,559,628
  5. Step 5: Solve for x
    x = 82,559,628/8,612.08
  6. Step 6: Final answer
    x = 9,586.49

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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.