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Finding the Fourth Proportional to 4,658.73, 6,981.90 and 3,420.33

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Solution

The fourth proportional to 4,658.73, 6,981.90 and 3,420.33 is: 5,125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.73 : 6,981.90 = 3,420.33 : x
  2. Step 2: Convert to fraction form
    4,658.73/6,981.90 = 3,420.33/x
  3. Step 3: Cross multiply
    4,658.73x = 6,981.90 × 3,420.33
  4. Step 4: Simplify right side
    4,658.73x = 23,880,402.03
  5. Step 5: Solve for x
    x = 23,880,402.03/4,658.73
  6. Step 6: Final answer
    x = 5,125.95

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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.