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Finding the Fourth Proportional to 21,578.88, 32,364.48 and 7,540.80

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Solution

The fourth proportional to 21,578.88, 32,364.48 and 7,540.80 is: 11,309.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,578.88 : 32,364.48 = 7,540.80 : x
  2. Step 2: Convert to fraction form
    21,578.88/32,364.48 = 7,540.80/x
  3. Step 3: Cross multiply
    21,578.88x = 32,364.48 × 7,540.80
  4. Step 4: Simplify right side
    21,578.88x = 244,054,070.78
  5. Step 5: Solve for x
    x = 244,054,070.78/21,578.88
  6. Step 6: Final answer
    x = 11,309.86

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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.