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Finding the Fourth Proportional to 3,920.95, 5,880.86 and 1,288.56

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Solution

The fourth proportional to 3,920.95, 5,880.86 and 1,288.56 is: 1,932.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.95 : 5,880.86 = 1,288.56 : x
  2. Step 2: Convert to fraction form
    3,920.95/5,880.86 = 1,288.56/x
  3. Step 3: Cross multiply
    3,920.95x = 5,880.86 × 1,288.56
  4. Step 4: Simplify right side
    3,920.95x = 7,577,805.11
  5. Step 5: Solve for x
    x = 7,577,805.11/3,920.95
  6. Step 6: Final answer
    x = 1,932.65

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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.