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Finding the Fourth Proportional to 3,147.90, 4,723.99 and 1,299.00

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Solution

The fourth proportional to 3,147.90, 4,723.99 and 1,299.00 is: 1,949.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.90 : 4,723.99 = 1,299.00 : x
  2. Step 2: Convert to fraction form
    3,147.90/4,723.99 = 1,299.00/x
  3. Step 3: Cross multiply
    3,147.90x = 4,723.99 × 1,299.00
  4. Step 4: Simplify right side
    3,147.90x = 6,136,477.48
  5. Step 5: Solve for x
    x = 6,136,477.48/3,147.90
  6. Step 6: Final answer
    x = 1,949.39

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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.