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Finding the Fourth Proportional to 8,745, 13,119.72 and 2,589

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Solution

The fourth proportional to 8,745, 13,119.72 and 2,589 is: 3,884.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,745 : 13,119.72 = 2,589 : x
  2. Step 2: Convert to fraction form
    8,745/13,119.72 = 2,589/x
  3. Step 3: Cross multiply
    8,745x = 13,119.72 × 2,589
  4. Step 4: Simplify right side
    8,745x = 33,966,955.08
  5. Step 5: Solve for x
    x = 33,966,955.08/8,745
  6. Step 6: Final answer
    x = 3,884.16

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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.