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Finding the Fourth Proportional to 16,429.87, 22,673.20 and 8,977.87

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Solution

The fourth proportional to 16,429.87, 22,673.20 and 8,977.87 is: 12,389.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,429.87 : 22,673.20 = 8,977.87 : x
  2. Step 2: Convert to fraction form
    16,429.87/22,673.20 = 8,977.87/x
  3. Step 3: Cross multiply
    16,429.87x = 22,673.20 × 8,977.87
  4. Step 4: Simplify right side
    16,429.87x = 203,556,883.83
  5. Step 5: Solve for x
    x = 203,556,883.83/16,429.87
  6. Step 6: Final answer
    x = 12,389.44

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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.