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Finding the Fourth Proportional to 5,178.67, 7,766.91 and 1,668.99

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Solution

The fourth proportional to 5,178.67, 7,766.91 and 1,668.99 is: 2,503.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.67 : 7,766.91 = 1,668.99 : x
  2. Step 2: Convert to fraction form
    5,178.67/7,766.91 = 1,668.99/x
  3. Step 3: Cross multiply
    5,178.67x = 7,766.91 × 1,668.99
  4. Step 4: Simplify right side
    5,178.67x = 12,962,901.38
  5. Step 5: Solve for x
    x = 12,962,901.38/5,178.67
  6. Step 6: Final answer
    x = 2,503.13

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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.