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Finding the Fourth Proportional to 2,312.74, 3,464.79 and 1,798.66

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Solution

The fourth proportional to 2,312.74, 3,464.79 and 1,798.66 is: 2,694.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.74 : 3,464.79 = 1,798.66 : x
  2. Step 2: Convert to fraction form
    2,312.74/3,464.79 = 1,798.66/x
  3. Step 3: Cross multiply
    2,312.74x = 3,464.79 × 1,798.66
  4. Step 4: Simplify right side
    2,312.74x = 6,231,979.18
  5. Step 5: Solve for x
    x = 6,231,979.18/2,312.74
  6. Step 6: Final answer
    x = 2,694.63

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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.