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Finding the Fourth Proportional to 5,668.78, 7,823.37 and 3,151.71

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Solution

The fourth proportional to 5,668.78, 7,823.37 and 3,151.71 is: 4,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.78 : 7,823.37 = 3,151.71 : x
  2. Step 2: Convert to fraction form
    5,668.78/7,823.37 = 3,151.71/x
  3. Step 3: Cross multiply
    5,668.78x = 7,823.37 × 3,151.71
  4. Step 4: Simplify right side
    5,668.78x = 24,656,938.59
  5. Step 5: Solve for x
    x = 24,656,938.59/5,668.78
  6. Step 6: Final answer
    x = 4,349.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.