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Finding the Fourth Proportional to 21,191.69, 31,788.08 and 6,401.09

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Solution

The fourth proportional to 21,191.69, 31,788.08 and 6,401.09 is: 9,601.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,191.69 : 31,788.08 = 6,401.09 : x
  2. Step 2: Convert to fraction form
    21,191.69/31,788.08 = 6,401.09/x
  3. Step 3: Cross multiply
    21,191.69x = 31,788.08 × 6,401.09
  4. Step 4: Simplify right side
    21,191.69x = 203,478,329.00
  5. Step 5: Solve for x
    x = 203,478,329.00/21,191.69
  6. Step 6: Final answer
    x = 9,601.80

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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.