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Finding the Fourth Proportional to 8,856, 13,284 and 3,012.48

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Solution

The fourth proportional to 8,856, 13,284 and 3,012.48 is: 4,518.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,856 : 13,284 = 3,012.48 : x
  2. Step 2: Convert to fraction form
    8,856/13,284 = 3,012.48/x
  3. Step 3: Cross multiply
    8,856x = 13,284 × 3,012.48
  4. Step 4: Simplify right side
    8,856x = 40,017,784.32
  5. Step 5: Solve for x
    x = 40,017,784.32/8,856
  6. Step 6: Final answer
    x = 4,518.72

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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.