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Finding the Fourth Proportional to 16,830, 25,245 and 6,442.02

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Solution

The fourth proportional to 16,830, 25,245 and 6,442.02 is: 9,663.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,830 : 25,245 = 6,442.02 : x
  2. Step 2: Convert to fraction form
    16,830/25,245 = 6,442.02/x
  3. Step 3: Cross multiply
    16,830x = 25,245 × 6,442.02
  4. Step 4: Simplify right side
    16,830x = 162,628,794.90
  5. Step 5: Solve for x
    x = 162,628,794.90/16,830
  6. Step 6: Final answer
    x = 9,663.03

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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.