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Finding the Fourth Proportional to 3,653, 5,477.87 and 2,266.28

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Solution

The fourth proportional to 3,653, 5,477.87 and 2,266.28 is: 3,398.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653 : 5,477.87 = 2,266.28 : x
  2. Step 2: Convert to fraction form
    3,653/5,477.87 = 2,266.28/x
  3. Step 3: Cross multiply
    3,653x = 5,477.87 × 2,266.28
  4. Step 4: Simplify right side
    3,653x = 12,414,387.22
  5. Step 5: Solve for x
    x = 12,414,387.22/3,653
  6. Step 6: Final answer
    x = 3,398.41

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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.