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Finding the Fourth Proportional to 3,633, 5,013.60 and 1,977

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Solution

The fourth proportional to 3,633, 5,013.60 and 1,977 is: 2,728.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633 : 5,013.60 = 1,977 : x
  2. Step 2: Convert to fraction form
    3,633/5,013.60 = 1,977/x
  3. Step 3: Cross multiply
    3,633x = 5,013.60 × 1,977
  4. Step 4: Simplify right side
    3,633x = 9,911,887.20
  5. Step 5: Solve for x
    x = 9,911,887.20/3,633
  6. Step 6: Final answer
    x = 2,728.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.