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Finding the Fourth Proportional to 15,175.89, 20,946.07 and 9,861.48

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Solution

The fourth proportional to 15,175.89, 20,946.07 and 9,861.48 is: 13,611.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,175.89 : 20,946.07 = 9,861.48 : x
  2. Step 2: Convert to fraction form
    15,175.89/20,946.07 = 9,861.48/x
  3. Step 3: Cross multiply
    15,175.89x = 20,946.07 × 9,861.48
  4. Step 4: Simplify right side
    15,175.89x = 206,559,250.38
  5. Step 5: Solve for x
    x = 206,559,250.38/15,175.89
  6. Step 6: Final answer
    x = 13,611.01

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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.