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Finding the Fourth Proportional to 21,197.95, 31,801.92 and 6,406.99

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Solution

The fourth proportional to 21,197.95, 31,801.92 and 6,406.99 is: 9,611.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,197.95 : 31,801.92 = 6,406.99 : x
  2. Step 2: Convert to fraction form
    21,197.95/31,801.92 = 6,406.99/x
  3. Step 3: Cross multiply
    21,197.95x = 31,801.92 × 6,406.99
  4. Step 4: Simplify right side
    21,197.95x = 203,754,583.42
  5. Step 5: Solve for x
    x = 203,754,583.42/21,197.95
  6. Step 6: Final answer
    x = 9,611.99

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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.