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Finding the Fourth Proportional to 7,081.25, 9,771.81 and 4,250.30

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Solution

The fourth proportional to 7,081.25, 9,771.81 and 4,250.30 is: 5,865.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,081.25 : 9,771.81 = 4,250.30 : x
  2. Step 2: Convert to fraction form
    7,081.25/9,771.81 = 4,250.30/x
  3. Step 3: Cross multiply
    7,081.25x = 9,771.81 × 4,250.30
  4. Step 4: Simplify right side
    7,081.25x = 41,533,075.18
  5. Step 5: Solve for x
    x = 41,533,075.18/7,081.25
  6. Step 6: Final answer
    x = 5,865.22

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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.