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Finding the Fourth Proportional to 8,653.17, 12,981.75 and 2,809.78

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Solution

The fourth proportional to 8,653.17, 12,981.75 and 2,809.78 is: 4,215.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.17 : 12,981.75 = 2,809.78 : x
  2. Step 2: Convert to fraction form
    8,653.17/12,981.75 = 2,809.78/x
  3. Step 3: Cross multiply
    8,653.17x = 12,981.75 × 2,809.78
  4. Step 4: Simplify right side
    8,653.17x = 36,475,861.52
  5. Step 5: Solve for x
    x = 36,475,861.52/8,653.17
  6. Step 6: Final answer
    x = 4,215.32

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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.