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Finding the Fourth Proportional to 11,750, 16,214.88 and 6,444.70

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Solution

The fourth proportional to 11,750, 16,214.88 and 6,444.70 is: 8,893.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750 : 16,214.88 = 6,444.70 : x
  2. Step 2: Convert to fraction form
    11,750/16,214.88 = 6,444.70/x
  3. Step 3: Cross multiply
    11,750x = 16,214.88 × 6,444.70
  4. Step 4: Simplify right side
    11,750x = 104,500,037.14
  5. Step 5: Solve for x
    x = 104,500,037.14/11,750
  6. Step 6: Final answer
    x = 8,893.62

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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.