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Finding the Fourth Proportional to 10,831, 16,246.58 and 2,623

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Solution

The fourth proportional to 10,831, 16,246.58 and 2,623 is: 3,934.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,831 : 16,246.58 = 2,623 : x
  2. Step 2: Convert to fraction form
    10,831/16,246.58 = 2,623/x
  3. Step 3: Cross multiply
    10,831x = 16,246.58 × 2,623
  4. Step 4: Simplify right side
    10,831x = 42,614,779.34
  5. Step 5: Solve for x
    x = 42,614,779.34/10,831
  6. Step 6: Final answer
    x = 3,934.52

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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.