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Finding the Fourth Proportional to 15,902.75, 21,946.82 and 9,188.66

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Solution

The fourth proportional to 15,902.75, 21,946.82 and 9,188.66 is: 12,680.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,902.75 : 21,946.82 = 9,188.66 : x
  2. Step 2: Convert to fraction form
    15,902.75/21,946.82 = 9,188.66/x
  3. Step 3: Cross multiply
    15,902.75x = 21,946.82 × 9,188.66
  4. Step 4: Simplify right side
    15,902.75x = 201,661,867.06
  5. Step 5: Solve for x
    x = 201,661,867.06/15,902.75
  6. Step 6: Final answer
    x = 12,680.94

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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.