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Finding the Fourth Proportional to 1,856.64, 2,783.13 and 883.43

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Solution

The fourth proportional to 1,856.64, 2,783.13 and 883.43 is: 1,324.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.64 : 2,783.13 = 883.43 : x
  2. Step 2: Convert to fraction form
    1,856.64/2,783.13 = 883.43/x
  3. Step 3: Cross multiply
    1,856.64x = 2,783.13 × 883.43
  4. Step 4: Simplify right side
    1,856.64x = 2,458,700.54
  5. Step 5: Solve for x
    x = 2,458,700.54/1,856.64
  6. Step 6: Final answer
    x = 1,324.27

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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.