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Finding the Fourth Proportional to 15,213, 20,993.94 and 8,589

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Solution

The fourth proportional to 15,213, 20,993.94 and 8,589 is: 11,852.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,213 : 20,993.94 = 8,589 : x
  2. Step 2: Convert to fraction form
    15,213/20,993.94 = 8,589/x
  3. Step 3: Cross multiply
    15,213x = 20,993.94 × 8,589
  4. Step 4: Simplify right side
    15,213x = 180,316,950.66
  5. Step 5: Solve for x
    x = 180,316,950.66/15,213
  6. Step 6: Final answer
    x = 11,852.82

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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.