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Finding the Fourth Proportional to 14,658.81, 21,986.46 and 4,129.62

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Solution

The fourth proportional to 14,658.81, 21,986.46 and 4,129.62 is: 6,193.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,658.81 : 21,986.46 = 4,129.62 : x
  2. Step 2: Convert to fraction form
    14,658.81/21,986.46 = 4,129.62/x
  3. Step 3: Cross multiply
    14,658.81x = 21,986.46 × 4,129.62
  4. Step 4: Simplify right side
    14,658.81x = 90,795,724.95
  5. Step 5: Solve for x
    x = 90,795,724.95/14,658.81
  6. Step 6: Final answer
    x = 6,193.94

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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.