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Finding the Fourth Proportional to 3,689.74, 5,530.25 and 3,648.63

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Solution

The fourth proportional to 3,689.74, 5,530.25 and 3,648.63 is: 5,468.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.74 : 5,530.25 = 3,648.63 : x
  2. Step 2: Convert to fraction form
    3,689.74/5,530.25 = 3,648.63/x
  3. Step 3: Cross multiply
    3,689.74x = 5,530.25 × 3,648.63
  4. Step 4: Simplify right side
    3,689.74x = 20,177,836.06
  5. Step 5: Solve for x
    x = 20,177,836.06/3,689.74
  6. Step 6: Final answer
    x = 5,468.63

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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.