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Finding the Fourth Proportional to 2,959.78, 4,084.48 and 1,633.50

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Solution

The fourth proportional to 2,959.78, 4,084.48 and 1,633.50 is: 2,254.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.78 : 4,084.48 = 1,633.50 : x
  2. Step 2: Convert to fraction form
    2,959.78/4,084.48 = 1,633.50/x
  3. Step 3: Cross multiply
    2,959.78x = 4,084.48 × 1,633.50
  4. Step 4: Simplify right side
    2,959.78x = 6,671,998.08
  5. Step 5: Solve for x
    x = 6,671,998.08/2,959.78
  6. Step 6: Final answer
    x = 2,254.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.