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Finding the Fourth Proportional to 1,884.46, 2,825.78 and 651.44

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Solution

The fourth proportional to 1,884.46, 2,825.78 and 651.44 is: 976.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.46 : 2,825.78 = 651.44 : x
  2. Step 2: Convert to fraction form
    1,884.46/2,825.78 = 651.44/x
  3. Step 3: Cross multiply
    1,884.46x = 2,825.78 × 651.44
  4. Step 4: Simplify right side
    1,884.46x = 1,840,808.74
  5. Step 5: Solve for x
    x = 1,840,808.74/1,884.46
  6. Step 6: Final answer
    x = 976.84

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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.