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Finding the Fourth Proportional to 2,977.56, 4,466.31 and 756.39

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Solution

The fourth proportional to 2,977.56, 4,466.31 and 756.39 is: 1,134.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.56 : 4,466.31 = 756.39 : x
  2. Step 2: Convert to fraction form
    2,977.56/4,466.31 = 756.39/x
  3. Step 3: Cross multiply
    2,977.56x = 4,466.31 × 756.39
  4. Step 4: Simplify right side
    2,977.56x = 3,378,272.22
  5. Step 5: Solve for x
    x = 3,378,272.22/2,977.56
  6. Step 6: Final answer
    x = 1,134.58

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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.