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Finding the Fourth Proportional to 14,864, 20,511.70 and 8,899

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Solution

The fourth proportional to 14,864, 20,511.70 and 8,899 is: 12,280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,864 : 20,511.70 = 8,899 : x
  2. Step 2: Convert to fraction form
    14,864/20,511.70 = 8,899/x
  3. Step 3: Cross multiply
    14,864x = 20,511.70 × 8,899
  4. Step 4: Simplify right side
    14,864x = 182,533,618.30
  5. Step 5: Solve for x
    x = 182,533,618.30/14,864
  6. Step 6: Final answer
    x = 12,280.25

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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.