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Finding the Fourth Proportional to 15,193.84, 20,942.40 and 10,156.22

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Solution

The fourth proportional to 15,193.84, 20,942.40 and 10,156.22 is: 13,998.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,193.84 : 20,942.40 = 10,156.22 : x
  2. Step 2: Convert to fraction form
    15,193.84/20,942.40 = 10,156.22/x
  3. Step 3: Cross multiply
    15,193.84x = 20,942.40 × 10,156.22
  4. Step 4: Simplify right side
    15,193.84x = 212,695,729.13
  5. Step 5: Solve for x
    x = 212,695,729.13/15,193.84
  6. Step 6: Final answer
    x = 13,998.81

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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.