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Finding the Fourth Proportional to 15,172.50, 20,927.76 and 9,857.82

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Solution

The fourth proportional to 15,172.50, 20,927.76 and 9,857.82 is: 13,597.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,172.50 : 20,927.76 = 9,857.82 : x
  2. Step 2: Convert to fraction form
    15,172.50/20,927.76 = 9,857.82/x
  3. Step 3: Cross multiply
    15,172.50x = 20,927.76 × 9,857.82
  4. Step 4: Simplify right side
    15,172.50x = 206,302,091.08
  5. Step 5: Solve for x
    x = 206,302,091.08/15,172.50
  6. Step 6: Final answer
    x = 13,597.11

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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.