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Finding the Fourth Proportional to 21,578.98, 32,369.79 and 6,788.38

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Solution

The fourth proportional to 21,578.98, 32,369.79 and 6,788.38 is: 10,182.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,578.98 : 32,369.79 = 6,788.38 : x
  2. Step 2: Convert to fraction form
    21,578.98/32,369.79 = 6,788.38/x
  3. Step 3: Cross multiply
    21,578.98x = 32,369.79 × 6,788.38
  4. Step 4: Simplify right side
    21,578.98x = 219,738,435.04
  5. Step 5: Solve for x
    x = 219,738,435.04/21,578.98
  6. Step 6: Final answer
    x = 10,182.99

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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.