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Finding the Fourth Proportional to 3,117.09, 4,676.41 and 925.81

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Solution

The fourth proportional to 3,117.09, 4,676.41 and 925.81 is: 1,388.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.09 : 4,676.41 = 925.81 : x
  2. Step 2: Convert to fraction form
    3,117.09/4,676.41 = 925.81/x
  3. Step 3: Cross multiply
    3,117.09x = 4,676.41 × 925.81
  4. Step 4: Simplify right side
    3,117.09x = 4,329,480.31
  5. Step 5: Solve for x
    x = 4,329,480.31/3,117.09
  6. Step 6: Final answer
    x = 1,388.95

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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.