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Finding the Fourth Proportional to 3,686.99, 5,530.55 and 1,347.47

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Solution

The fourth proportional to 3,686.99, 5,530.55 and 1,347.47 is: 2,021.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.99 : 5,530.55 = 1,347.47 : x
  2. Step 2: Convert to fraction form
    3,686.99/5,530.55 = 1,347.47/x
  3. Step 3: Cross multiply
    3,686.99x = 5,530.55 × 1,347.47
  4. Step 4: Simplify right side
    3,686.99x = 7,452,257.30
  5. Step 5: Solve for x
    x = 7,452,257.30/3,686.99
  6. Step 6: Final answer
    x = 2,021.23

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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.