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Finding the Fourth Proportional to 5,519.64, 7,619.10 and 3,657.24

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Solution

The fourth proportional to 5,519.64, 7,619.10 and 3,657.24 is: 5,048.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,519.64 : 7,619.10 = 3,657.24 : x
  2. Step 2: Convert to fraction form
    5,519.64/7,619.10 = 3,657.24/x
  3. Step 3: Cross multiply
    5,519.64x = 7,619.10 × 3,657.24
  4. Step 4: Simplify right side
    5,519.64x = 27,864,877.28
  5. Step 5: Solve for x
    x = 27,864,877.28/5,519.64
  6. Step 6: Final answer
    x = 5,048.31

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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.