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Finding the Fourth Proportional to 3,550, 4,898.94 and 1,978.06

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Solution

The fourth proportional to 3,550, 4,898.94 and 1,978.06 is: 2,729.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,550 : 4,898.94 = 1,978.06 : x
  2. Step 2: Convert to fraction form
    3,550/4,898.94 = 1,978.06/x
  3. Step 3: Cross multiply
    3,550x = 4,898.94 × 1,978.06
  4. Step 4: Simplify right side
    3,550x = 9,690,397.26
  5. Step 5: Solve for x
    x = 9,690,397.26/3,550
  6. Step 6: Final answer
    x = 2,729.69

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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.