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Finding the Fourth Proportional to 21,205.95, 31,813.92 and 6,414.99

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Solution

The fourth proportional to 21,205.95, 31,813.92 and 6,414.99 is: 9,624.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.95 : 31,813.92 = 6,414.99 : x
  2. Step 2: Convert to fraction form
    21,205.95/31,813.92 = 6,414.99/x
  3. Step 3: Cross multiply
    21,205.95x = 31,813.92 × 6,414.99
  4. Step 4: Simplify right side
    21,205.95x = 204,085,978.66
  5. Step 5: Solve for x
    x = 204,085,978.66/21,205.95
  6. Step 6: Final answer
    x = 9,624.00

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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.