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Finding the Fourth Proportional to 5,323.57, 7,986.32 and 1,813.39

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Solution

The fourth proportional to 5,323.57, 7,986.32 and 1,813.39 is: 2,720.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.57 : 7,986.32 = 1,813.39 : x
  2. Step 2: Convert to fraction form
    5,323.57/7,986.32 = 1,813.39/x
  3. Step 3: Cross multiply
    5,323.57x = 7,986.32 × 1,813.39
  4. Step 4: Simplify right side
    5,323.57x = 14,482,295.69
  5. Step 5: Solve for x
    x = 14,482,295.69/5,323.57
  6. Step 6: Final answer
    x = 2,720.41

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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.