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Finding the Fourth Proportional to 12,311.52, 16,986.20 and 7,276.20

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Solution

The fourth proportional to 12,311.52, 16,986.20 and 7,276.20 is: 10,038.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.52 : 16,986.20 = 7,276.20 : x
  2. Step 2: Convert to fraction form
    12,311.52/16,986.20 = 7,276.20/x
  3. Step 3: Cross multiply
    12,311.52x = 16,986.20 × 7,276.20
  4. Step 4: Simplify right side
    12,311.52x = 123,594,988.44
  5. Step 5: Solve for x
    x = 123,594,988.44/12,311.52
  6. Step 6: Final answer
    x = 10,038.97

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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.