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Finding the Fourth Proportional to 15,138.76, 20,889.09 and 8,424.37

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Solution

The fourth proportional to 15,138.76, 20,889.09 and 8,424.37 is: 11,624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,138.76 : 20,889.09 = 8,424.37 : x
  2. Step 2: Convert to fraction form
    15,138.76/20,889.09 = 8,424.37/x
  3. Step 3: Cross multiply
    15,138.76x = 20,889.09 × 8,424.37
  4. Step 4: Simplify right side
    15,138.76x = 175,977,423.12
  5. Step 5: Solve for x
    x = 175,977,423.12/15,138.76
  6. Step 6: Final answer
    x = 11,624.30

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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.