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Finding the Fourth Proportional to 3,977.51, 5,965.25 and 1,511.60

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Solution

The fourth proportional to 3,977.51, 5,965.25 and 1,511.60 is: 2,267.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.51 : 5,965.25 = 1,511.60 : x
  2. Step 2: Convert to fraction form
    3,977.51/5,965.25 = 1,511.60/x
  3. Step 3: Cross multiply
    3,977.51x = 5,965.25 × 1,511.60
  4. Step 4: Simplify right side
    3,977.51x = 9,017,034.52
  5. Step 5: Solve for x
    x = 9,017,034.52/3,977.51
  6. Step 6: Final answer
    x = 2,267.01

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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.