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Finding the Fourth Proportional to 8,663.76, 12,996.99 and 2,819.00

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Solution

The fourth proportional to 8,663.76, 12,996.99 and 2,819.00 is: 4,228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663.76 : 12,996.99 = 2,819.00 : x
  2. Step 2: Convert to fraction form
    8,663.76/12,996.99 = 2,819.00/x
  3. Step 3: Cross multiply
    8,663.76x = 12,996.99 × 2,819.00
  4. Step 4: Simplify right side
    8,663.76x = 36,638,547.30
  5. Step 5: Solve for x
    x = 36,638,547.30/8,663.76
  6. Step 6: Final answer
    x = 4,228.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.