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Finding the Fourth Proportional to 3,381.41, 4,665.98 and 1,964.82

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Solution

The fourth proportional to 3,381.41, 4,665.98 and 1,964.82 is: 2,711.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.41 : 4,665.98 = 1,964.82 : x
  2. Step 2: Convert to fraction form
    3,381.41/4,665.98 = 1,964.82/x
  3. Step 3: Cross multiply
    3,381.41x = 4,665.98 × 1,964.82
  4. Step 4: Simplify right side
    3,381.41x = 9,167,810.82
  5. Step 5: Solve for x
    x = 9,167,810.82/3,381.41
  6. Step 6: Final answer
    x = 2,711.24

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1.5x scale

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.