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Finding the Fourth Proportional to 16,406.23, 24,621.90 and 8,515.21

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Solution

The fourth proportional to 16,406.23, 24,621.90 and 8,515.21 is: 12,779.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.23 : 24,621.90 = 8,515.21 : x
  2. Step 2: Convert to fraction form
    16,406.23/24,621.90 = 8,515.21/x
  3. Step 3: Cross multiply
    16,406.23x = 24,621.90 × 8,515.21
  4. Step 4: Simplify right side
    16,406.23x = 209,660,649.10
  5. Step 5: Solve for x
    x = 209,660,649.10/16,406.23
  6. Step 6: Final answer
    x = 12,779.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.