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Finding the Fourth Proportional to 21,008, 31,517.12 and 6,416

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Solution

The fourth proportional to 21,008, 31,517.12 and 6,416 is: 9,625.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,008 : 31,517.12 = 6,416 : x
  2. Step 2: Convert to fraction form
    21,008/31,517.12 = 6,416/x
  3. Step 3: Cross multiply
    21,008x = 31,517.12 × 6,416
  4. Step 4: Simplify right side
    21,008x = 202,213,841.92
  5. Step 5: Solve for x
    x = 202,213,841.92/21,008
  6. Step 6: Final answer
    x = 9,625.56

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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.