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Finding the Fourth Proportional to 3,225.75, 4,839.44 and 917.25

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Solution

The fourth proportional to 3,225.75, 4,839.44 and 917.25 is: 1,376.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.75 : 4,839.44 = 917.25 : x
  2. Step 2: Convert to fraction form
    3,225.75/4,839.44 = 917.25/x
  3. Step 3: Cross multiply
    3,225.75x = 4,839.44 × 917.25
  4. Step 4: Simplify right side
    3,225.75x = 4,438,971.75
  5. Step 5: Solve for x
    x = 4,438,971.75/3,225.75
  6. Step 6: Final answer
    x = 1,376.11

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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.