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Finding the Fourth Proportional to 15,136.16, 20,888 and 8,422.07

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Solution

The fourth proportional to 15,136.16, 20,888 and 8,422.07 is: 11,622.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,136.16 : 20,888 = 8,422.07 : x
  2. Step 2: Convert to fraction form
    15,136.16/20,888 = 8,422.07/x
  3. Step 3: Cross multiply
    15,136.16x = 20,888 × 8,422.07
  4. Step 4: Simplify right side
    15,136.16x = 175,920,145.94
  5. Step 5: Solve for x
    x = 175,920,145.94/15,136.16
  6. Step 6: Final answer
    x = 11,622.51

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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.