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Finding the Fourth Proportional to 3,035.36, 4,553.20 and 844.08

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Solution

The fourth proportional to 3,035.36, 4,553.20 and 844.08 is: 1,266.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035.36 : 4,553.20 = 844.08 : x
  2. Step 2: Convert to fraction form
    3,035.36/4,553.20 = 844.08/x
  3. Step 3: Cross multiply
    3,035.36x = 4,553.20 × 844.08
  4. Step 4: Simplify right side
    3,035.36x = 3,843,265.06
  5. Step 5: Solve for x
    x = 3,843,265.06/3,035.36
  6. Step 6: Final answer
    x = 1,266.16

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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.