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Finding the Fourth Proportional to 11,900.70, 16,422.53 and 6,865.16

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Solution

The fourth proportional to 11,900.70, 16,422.53 and 6,865.16 is: 9,473.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.70 : 16,422.53 = 6,865.16 : x
  2. Step 2: Convert to fraction form
    11,900.70/16,422.53 = 6,865.16/x
  3. Step 3: Cross multiply
    11,900.70x = 16,422.53 × 6,865.16
  4. Step 4: Simplify right side
    11,900.70x = 112,743,179.62
  5. Step 5: Solve for x
    x = 112,743,179.62/11,900.70
  6. Step 6: Final answer
    x = 9,473.66

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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.