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Finding the Fourth Proportional to 3,661.47, 5,484.87 and 1,684.39

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Solution

The fourth proportional to 3,661.47, 5,484.87 and 1,684.39 is: 2,523.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.47 : 5,484.87 = 1,684.39 : x
  2. Step 2: Convert to fraction form
    3,661.47/5,484.87 = 1,684.39/x
  3. Step 3: Cross multiply
    3,661.47x = 5,484.87 × 1,684.39
  4. Step 4: Simplify right side
    3,661.47x = 9,238,646.06
  5. Step 5: Solve for x
    x = 9,238,646.06/3,661.47
  6. Step 6: Final answer
    x = 2,523.21

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1.5x scale

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.