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Finding the Fourth Proportional to 2,960.83, 4,432.94 and 1,918.22

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Solution

The fourth proportional to 2,960.83, 4,432.94 and 1,918.22 is: 2,871.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.83 : 4,432.94 = 1,918.22 : x
  2. Step 2: Convert to fraction form
    2,960.83/4,432.94 = 1,918.22/x
  3. Step 3: Cross multiply
    2,960.83x = 4,432.94 × 1,918.22
  4. Step 4: Simplify right side
    2,960.83x = 8,503,344.58
  5. Step 5: Solve for x
    x = 8,503,344.58/2,960.83
  6. Step 6: Final answer
    x = 2,871.95

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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.