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Finding the Fourth Proportional to 15,136.22, 20,888.09 and 8,422.13

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Solution

The fourth proportional to 15,136.22, 20,888.09 and 8,422.13 is: 11,622.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,136.22 : 20,888.09 = 8,422.13 : x
  2. Step 2: Convert to fraction form
    15,136.22/20,888.09 = 8,422.13/x
  3. Step 3: Cross multiply
    15,136.22x = 20,888.09 × 8,422.13
  4. Step 4: Simplify right side
    15,136.22x = 175,922,167.32
  5. Step 5: Solve for x
    x = 175,922,167.32/15,136.22
  6. Step 6: Final answer
    x = 11,622.60

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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.