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Finding the Fourth Proportional to 11,728.91, 16,188.18 and 6,949.91

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Solution

The fourth proportional to 11,728.91, 16,188.18 and 6,949.91 is: 9,592.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728.91 : 16,188.18 = 6,949.91 : x
  2. Step 2: Convert to fraction form
    11,728.91/16,188.18 = 6,949.91/x
  3. Step 3: Cross multiply
    11,728.91x = 16,188.18 × 6,949.91
  4. Step 4: Simplify right side
    11,728.91x = 112,506,394.06
  5. Step 5: Solve for x
    x = 112,506,394.06/11,728.91
  6. Step 6: Final answer
    x = 9,592.23

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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.