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Finding the Fourth Proportional to 11,697.70, 16,143.06 and 6,392.74

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Solution

The fourth proportional to 11,697.70, 16,143.06 and 6,392.74 is: 8,822.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.70 : 16,143.06 = 6,392.74 : x
  2. Step 2: Convert to fraction form
    11,697.70/16,143.06 = 6,392.74/x
  3. Step 3: Cross multiply
    11,697.70x = 16,143.06 × 6,392.74
  4. Step 4: Simplify right side
    11,697.70x = 103,198,385.38
  5. Step 5: Solve for x
    x = 103,198,385.38/11,697.70
  6. Step 6: Final answer
    x = 8,822.11

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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.