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Finding the Fourth Proportional to 1,856.34, 2,785.08 and 990

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Solution

The fourth proportional to 1,856.34, 2,785.08 and 990 is: 1,485.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.34 : 2,785.08 = 990 : x
  2. Step 2: Convert to fraction form
    1,856.34/2,785.08 = 990/x
  3. Step 3: Cross multiply
    1,856.34x = 2,785.08 × 990
  4. Step 4: Simplify right side
    1,856.34x = 2,757,229.20
  5. Step 5: Solve for x
    x = 2,757,229.20/1,856.34
  6. Step 6: Final answer
    x = 1,485.30

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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.