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Finding the Fourth Proportional to 25,722, 35,472 and 16,776.36

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Solution

The fourth proportional to 25,722, 35,472 and 16,776.36 is: 23,135.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,722 : 35,472 = 16,776.36 : x
  2. Step 2: Convert to fraction form
    25,722/35,472 = 16,776.36/x
  3. Step 3: Cross multiply
    25,722x = 35,472 × 16,776.36
  4. Step 4: Simplify right side
    25,722x = 595,091,041.92
  5. Step 5: Solve for x
    x = 595,091,041.92/25,722
  6. Step 6: Final answer
    x = 23,135.49

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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.