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Finding the Fourth Proportional to 10,623, 15,939.06 and 5,691.24

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Solution

The fourth proportional to 10,623, 15,939.06 and 5,691.24 is: 8,539.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,623 : 15,939.06 = 5,691.24 : x
  2. Step 2: Convert to fraction form
    10,623/15,939.06 = 5,691.24/x
  3. Step 3: Cross multiply
    10,623x = 15,939.06 × 5,691.24
  4. Step 4: Simplify right side
    10,623x = 90,713,015.83
  5. Step 5: Solve for x
    x = 90,713,015.83/10,623
  6. Step 6: Final answer
    x = 8,539.30

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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.