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Finding the Fourth Proportional to 1,884.27, 2,826.56 and 651.18

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Solution

The fourth proportional to 1,884.27, 2,826.56 and 651.18 is: 976.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.27 : 2,826.56 = 651.18 : x
  2. Step 2: Convert to fraction form
    1,884.27/2,826.56 = 651.18/x
  3. Step 3: Cross multiply
    1,884.27x = 2,826.56 × 651.18
  4. Step 4: Simplify right side
    1,884.27x = 1,840,581.95
  5. Step 5: Solve for x
    x = 1,840,581.95/1,884.27
  6. Step 6: Final answer
    x = 976.82

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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.