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Finding the Fourth Proportional to 3,391.86, 5,086.95 and 926.58

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Solution

The fourth proportional to 3,391.86, 5,086.95 and 926.58 is: 1,389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,391.86 : 5,086.95 = 926.58 : x
  2. Step 2: Convert to fraction form
    3,391.86/5,086.95 = 926.58/x
  3. Step 3: Cross multiply
    3,391.86x = 5,086.95 × 926.58
  4. Step 4: Simplify right side
    3,391.86x = 4,713,466.13
  5. Step 5: Solve for x
    x = 4,713,466.13/3,391.86
  6. Step 6: Final answer
    x = 1,389.64

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1.5x scale

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.