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Finding the Fourth Proportional to 15,809, 23,716.62 and 7,039.40

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Solution

The fourth proportional to 15,809, 23,716.62 and 7,039.40 is: 10,560.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,809 : 23,716.62 = 7,039.40 : x
  2. Step 2: Convert to fraction form
    15,809/23,716.62 = 7,039.40/x
  3. Step 3: Cross multiply
    15,809x = 23,716.62 × 7,039.40
  4. Step 4: Simplify right side
    15,809x = 166,950,774.83
  5. Step 5: Solve for x
    x = 166,950,774.83/15,809
  6. Step 6: Final answer
    x = 10,560.49

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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.