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Finding the Fourth Proportional to 11,750, 16,216.92 and 6,784.88

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Solution

The fourth proportional to 11,750, 16,216.92 and 6,784.88 is: 9,364.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750 : 16,216.92 = 6,784.88 : x
  2. Step 2: Convert to fraction form
    11,750/16,216.92 = 6,784.88/x
  3. Step 3: Cross multiply
    11,750x = 16,216.92 × 6,784.88
  4. Step 4: Simplify right side
    11,750x = 110,029,856.17
  5. Step 5: Solve for x
    x = 110,029,856.17/11,750
  6. Step 6: Final answer
    x = 9,364.24

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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.