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Finding the Fourth Proportional to 16,813.78, 25,197.99 and 6,419.86

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Solution

The fourth proportional to 16,813.78, 25,197.99 and 6,419.86 is: 9,621.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,813.78 : 25,197.99 = 6,419.86 : x
  2. Step 2: Convert to fraction form
    16,813.78/25,197.99 = 6,419.86/x
  3. Step 3: Cross multiply
    16,813.78x = 25,197.99 × 6,419.86
  4. Step 4: Simplify right side
    16,813.78x = 161,767,568.08
  5. Step 5: Solve for x
    x = 161,767,568.08/16,813.78
  6. Step 6: Final answer
    x = 9,621.13

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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.