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Finding the Fourth Proportional to 15,137.18, 20,888.91 and 8,422.82

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Solution

The fourth proportional to 15,137.18, 20,888.91 and 8,422.82 is: 11,623.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,137.18 : 20,888.91 = 8,422.82 : x
  2. Step 2: Convert to fraction form
    15,137.18/20,888.91 = 8,422.82/x
  3. Step 3: Cross multiply
    15,137.18x = 20,888.91 × 8,422.82
  4. Step 4: Simplify right side
    15,137.18x = 175,943,528.93
  5. Step 5: Solve for x
    x = 175,943,528.93/15,137.18
  6. Step 6: Final answer
    x = 11,623.27

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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.