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Finding the Fourth Proportional to 3,656.25, 5,484.42 and 1,347.75

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Solution

The fourth proportional to 3,656.25, 5,484.42 and 1,347.75 is: 2,021.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.25 : 5,484.42 = 1,347.75 : x
  2. Step 2: Convert to fraction form
    3,656.25/5,484.42 = 1,347.75/x
  3. Step 3: Cross multiply
    3,656.25x = 5,484.42 × 1,347.75
  4. Step 4: Simplify right side
    3,656.25x = 7,391,627.06
  5. Step 5: Solve for x
    x = 7,391,627.06/3,656.25
  6. Step 6: Final answer
    x = 2,021.64

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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.