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Finding the Fourth Proportional to 5,448.63, 8,174.15 and 1,985.88

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Solution

The fourth proportional to 5,448.63, 8,174.15 and 1,985.88 is: 2,979.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,448.63 : 8,174.15 = 1,985.88 : x
  2. Step 2: Convert to fraction form
    5,448.63/8,174.15 = 1,985.88/x
  3. Step 3: Cross multiply
    5,448.63x = 8,174.15 × 1,985.88
  4. Step 4: Simplify right side
    5,448.63x = 16,232,845.10
  5. Step 5: Solve for x
    x = 16,232,845.10/5,448.63
  6. Step 6: Final answer
    x = 2,979.26

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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.