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Finding the Fourth Proportional to 15,858, 23,764.50 and 10,855.80

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Solution

The fourth proportional to 15,858, 23,764.50 and 10,855.80 is: 16,268.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,858 : 23,764.50 = 10,855.80 : x
  2. Step 2: Convert to fraction form
    15,858/23,764.50 = 10,855.80/x
  3. Step 3: Cross multiply
    15,858x = 23,764.50 × 10,855.80
  4. Step 4: Simplify right side
    15,858x = 257,982,659.10
  5. Step 5: Solve for x
    x = 257,982,659.10/15,858
  6. Step 6: Final answer
    x = 16,268.30

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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.