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Finding the Fourth Proportional to 8,709.52, 13,065.72 and 2,866

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Solution

The fourth proportional to 8,709.52, 13,065.72 and 2,866 is: 4,299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.52 : 13,065.72 = 2,866 : x
  2. Step 2: Convert to fraction form
    8,709.52/13,065.72 = 2,866/x
  3. Step 3: Cross multiply
    8,709.52x = 13,065.72 × 2,866
  4. Step 4: Simplify right side
    8,709.52x = 37,446,353.52
  5. Step 5: Solve for x
    x = 37,446,353.52/8,709.52
  6. Step 6: Final answer
    x = 4,299.47

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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.