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Finding the Fourth Proportional to 14,237.78, 21,357.06 and 3,849.50

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Solution

The fourth proportional to 14,237.78, 21,357.06 and 3,849.50 is: 5,774.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,237.78 : 21,357.06 = 3,849.50 : x
  2. Step 2: Convert to fraction form
    14,237.78/21,357.06 = 3,849.50/x
  3. Step 3: Cross multiply
    14,237.78x = 21,357.06 × 3,849.50
  4. Step 4: Simplify right side
    14,237.78x = 82,214,002.47
  5. Step 5: Solve for x
    x = 82,214,002.47/14,237.78
  6. Step 6: Final answer
    x = 5,774.36

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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.