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Finding the Fourth Proportional to 2,965.42, 4,447.74 and 1,384.70

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Solution

The fourth proportional to 2,965.42, 4,447.74 and 1,384.70 is: 2,076.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.42 : 4,447.74 = 1,384.70 : x
  2. Step 2: Convert to fraction form
    2,965.42/4,447.74 = 1,384.70/x
  3. Step 3: Cross multiply
    2,965.42x = 4,447.74 × 1,384.70
  4. Step 4: Simplify right side
    2,965.42x = 6,158,785.58
  5. Step 5: Solve for x
    x = 6,158,785.58/2,965.42
  6. Step 6: Final answer
    x = 2,076.87

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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.