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Finding the Fourth Proportional to 5,323.56, 7,984.60 and 1,813.56

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Solution

The fourth proportional to 5,323.56, 7,984.60 and 1,813.56 is: 2,720.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.56 : 7,984.60 = 1,813.56 : x
  2. Step 2: Convert to fraction form
    5,323.56/7,984.60 = 1,813.56/x
  3. Step 3: Cross multiply
    5,323.56x = 7,984.60 × 1,813.56
  4. Step 4: Simplify right side
    5,323.56x = 14,480,551.18
  5. Step 5: Solve for x
    x = 14,480,551.18/5,323.56
  6. Step 6: Final answer
    x = 2,720.09

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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.