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Finding the Fourth Proportional to 3,898.13, 5,845.37 and 1,299.24

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Solution

The fourth proportional to 3,898.13, 5,845.37 and 1,299.24 is: 1,948.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.13 : 5,845.37 = 1,299.24 : x
  2. Step 2: Convert to fraction form
    3,898.13/5,845.37 = 1,299.24/x
  3. Step 3: Cross multiply
    3,898.13x = 5,845.37 × 1,299.24
  4. Step 4: Simplify right side
    3,898.13x = 7,594,532.02
  5. Step 5: Solve for x
    x = 7,594,532.02/3,898.13
  6. Step 6: Final answer
    x = 1,948.25

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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.