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Finding the Fourth Proportional to 2,969.37, 4,453.88 and 778.09

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Solution

The fourth proportional to 2,969.37, 4,453.88 and 778.09 is: 1,167.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.37 : 4,453.88 = 778.09 : x
  2. Step 2: Convert to fraction form
    2,969.37/4,453.88 = 778.09/x
  3. Step 3: Cross multiply
    2,969.37x = 4,453.88 × 778.09
  4. Step 4: Simplify right side
    2,969.37x = 3,465,532.97
  5. Step 5: Solve for x
    x = 3,465,532.97/2,969.37
  6. Step 6: Final answer
    x = 1,167.10

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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.