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Finding the Fourth Proportional to 8,715, 13,072.50 and 2,559

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Solution

The fourth proportional to 8,715, 13,072.50 and 2,559 is: 3,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,715 : 13,072.50 = 2,559 : x
  2. Step 2: Convert to fraction form
    8,715/13,072.50 = 2,559/x
  3. Step 3: Cross multiply
    8,715x = 13,072.50 × 2,559
  4. Step 4: Simplify right side
    8,715x = 33,452,527.50
  5. Step 5: Solve for x
    x = 33,452,527.50/8,715
  6. Step 6: Final answer
    x = 3,838.50

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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.