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Finding the Fourth Proportional to 5,609.80, 8,398.38 and 3,655.24

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Solution

The fourth proportional to 5,609.80, 8,398.38 and 3,655.24 is: 5,472.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.80 : 8,398.38 = 3,655.24 : x
  2. Step 2: Convert to fraction form
    5,609.80/8,398.38 = 3,655.24/x
  3. Step 3: Cross multiply
    5,609.80x = 8,398.38 × 3,655.24
  4. Step 4: Simplify right side
    5,609.80x = 30,698,094.51
  5. Step 5: Solve for x
    x = 30,698,094.51/5,609.80
  6. Step 6: Final answer
    x = 5,472.23

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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.