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Finding the Fourth Proportional to 7,819.64, 11,730.95 and 2,554.21

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Solution

The fourth proportional to 7,819.64, 11,730.95 and 2,554.21 is: 3,831.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,819.64 : 11,730.95 = 2,554.21 : x
  2. Step 2: Convert to fraction form
    7,819.64/11,730.95 = 2,554.21/x
  3. Step 3: Cross multiply
    7,819.64x = 11,730.95 × 2,554.21
  4. Step 4: Simplify right side
    7,819.64x = 29,963,309.80
  5. Step 5: Solve for x
    x = 29,963,309.80/7,819.64
  6. Step 6: Final answer
    x = 3,831.80

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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.