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Finding the Fourth Proportional to 14,413, 21,619.68 and 5,179

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Solution

The fourth proportional to 14,413, 21,619.68 and 5,179 is: 7,768.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,413 : 21,619.68 = 5,179 : x
  2. Step 2: Convert to fraction form
    14,413/21,619.68 = 5,179/x
  3. Step 3: Cross multiply
    14,413x = 21,619.68 × 5,179
  4. Step 4: Simplify right side
    14,413x = 111,968,322.72
  5. Step 5: Solve for x
    x = 111,968,322.72/14,413
  6. Step 6: Final answer
    x = 7,768.56

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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.