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Finding the Fourth Proportional to 15,122.16, 20,858.22 and 9,143.46

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Solution

The fourth proportional to 15,122.16, 20,858.22 and 9,143.46 is: 12,611.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,122.16 : 20,858.22 = 9,143.46 : x
  2. Step 2: Convert to fraction form
    15,122.16/20,858.22 = 9,143.46/x
  3. Step 3: Cross multiply
    15,122.16x = 20,858.22 × 9,143.46
  4. Step 4: Simplify right side
    15,122.16x = 190,716,300.24
  5. Step 5: Solve for x
    x = 190,716,300.24/15,122.16
  6. Step 6: Final answer
    x = 12,611.71

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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.