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Finding the Fourth Proportional to 15,137.82, 20,878.36 and 9,834.35

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Solution

The fourth proportional to 15,137.82, 20,878.36 and 9,834.35 is: 13,563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,137.82 : 20,878.36 = 9,834.35 : x
  2. Step 2: Convert to fraction form
    15,137.82/20,878.36 = 9,834.35/x
  3. Step 3: Cross multiply
    15,137.82x = 20,878.36 × 9,834.35
  4. Step 4: Simplify right side
    15,137.82x = 205,324,970.69
  5. Step 5: Solve for x
    x = 205,324,970.69/15,137.82
  6. Step 6: Final answer
    x = 13,563.71

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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.