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Finding the Fourth Proportional to 21,197.53, 31,799.63 and 6,404.59

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Solution

The fourth proportional to 21,197.53, 31,799.63 and 6,404.59 is: 9,607.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,197.53 : 31,799.63 = 6,404.59 : x
  2. Step 2: Convert to fraction form
    21,197.53/31,799.63 = 6,404.59/x
  3. Step 3: Cross multiply
    21,197.53x = 31,799.63 × 6,404.59
  4. Step 4: Simplify right side
    21,197.53x = 203,663,592.30
  5. Step 5: Solve for x
    x = 203,663,592.30/21,197.53
  6. Step 6: Final answer
    x = 9,607.89

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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.