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Finding the Fourth Proportional to 3,980.63, 5,977.63 and 2,993.45

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Solution

The fourth proportional to 3,980.63, 5,977.63 and 2,993.45 is: 4,495.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.63 : 5,977.63 = 2,993.45 : x
  2. Step 2: Convert to fraction form
    3,980.63/5,977.63 = 2,993.45/x
  3. Step 3: Cross multiply
    3,980.63x = 5,977.63 × 2,993.45
  4. Step 4: Simplify right side
    3,980.63x = 17,893,710.38
  5. Step 5: Solve for x
    x = 17,893,710.38/3,980.63
  6. Step 6: Final answer
    x = 4,495.19

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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.