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Finding the Fourth Proportional to 22,651.99, 31,254.09 and 13,578.77

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Solution

The fourth proportional to 22,651.99, 31,254.09 and 13,578.77 is: 18,735.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,651.99 : 31,254.09 = 13,578.77 : x
  2. Step 2: Convert to fraction form
    22,651.99/31,254.09 = 13,578.77/x
  3. Step 3: Cross multiply
    22,651.99x = 31,254.09 × 13,578.77
  4. Step 4: Simplify right side
    22,651.99x = 424,392,126.88
  5. Step 5: Solve for x
    x = 424,392,126.88/22,651.99
  6. Step 6: Final answer
    x = 18,735.32

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.