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Finding the Fourth Proportional to 14,223.78, 21,336.06 and 3,835.50

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Solution

The fourth proportional to 14,223.78, 21,336.06 and 3,835.50 is: 5,753.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,223.78 : 21,336.06 = 3,835.50 : x
  2. Step 2: Convert to fraction form
    14,223.78/21,336.06 = 3,835.50/x
  3. Step 3: Cross multiply
    14,223.78x = 21,336.06 × 3,835.50
  4. Step 4: Simplify right side
    14,223.78x = 81,834,458.13
  5. Step 5: Solve for x
    x = 81,834,458.13/14,223.78
  6. Step 6: Final answer
    x = 5,753.36

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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.