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Finding the Fourth Proportional to 5,662.13, 7,813.83 and 3,144.40

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Solution

The fourth proportional to 5,662.13, 7,813.83 and 3,144.40 is: 4,339.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.13 : 7,813.83 = 3,144.40 : x
  2. Step 2: Convert to fraction form
    5,662.13/7,813.83 = 3,144.40/x
  3. Step 3: Cross multiply
    5,662.13x = 7,813.83 × 3,144.40
  4. Step 4: Simplify right side
    5,662.13x = 24,569,807.05
  5. Step 5: Solve for x
    x = 24,569,807.05/5,662.13
  6. Step 6: Final answer
    x = 4,339.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.