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Finding the Fourth Proportional to 2,305.71, 3,465.86 and 1,984.95

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Solution

The fourth proportional to 2,305.71, 3,465.86 and 1,984.95 is: 2,983.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.71 : 3,465.86 = 1,984.95 : x
  2. Step 2: Convert to fraction form
    2,305.71/3,465.86 = 1,984.95/x
  3. Step 3: Cross multiply
    2,305.71x = 3,465.86 × 1,984.95
  4. Step 4: Simplify right side
    2,305.71x = 6,879,548.88
  5. Step 5: Solve for x
    x = 6,879,548.88/2,305.71
  6. Step 6: Final answer
    x = 2,983.70

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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.