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Finding the Fourth Proportional to 11,947.20, 16,483.68 and 8,167.20

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Solution

The fourth proportional to 11,947.20, 16,483.68 and 8,167.20 is: 11,268.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947.20 : 16,483.68 = 8,167.20 : x
  2. Step 2: Convert to fraction form
    11,947.20/16,483.68 = 8,167.20/x
  3. Step 3: Cross multiply
    11,947.20x = 16,483.68 × 8,167.20
  4. Step 4: Simplify right side
    11,947.20x = 134,625,511.30
  5. Step 5: Solve for x
    x = 134,625,511.30/11,947.20
  6. Step 6: Final answer
    x = 11,268.37

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1.5x scale

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.