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Finding the Fourth Proportional to 1,884.33, 2,825.59 and 651.31

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Solution

The fourth proportional to 1,884.33, 2,825.59 and 651.31 is: 976.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.33 : 2,825.59 = 651.31 : x
  2. Step 2: Convert to fraction form
    1,884.33/2,825.59 = 651.31/x
  3. Step 3: Cross multiply
    1,884.33x = 2,825.59 × 651.31
  4. Step 4: Simplify right side
    1,884.33x = 1,840,335.02
  5. Step 5: Solve for x
    x = 1,840,335.02/1,884.33
  6. Step 6: Final answer
    x = 976.65

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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.