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Finding the Fourth Proportional to 3,210.75, 4,816.94 and 902.25

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Solution

The fourth proportional to 3,210.75, 4,816.94 and 902.25 is: 1,353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.75 : 4,816.94 = 902.25 : x
  2. Step 2: Convert to fraction form
    3,210.75/4,816.94 = 902.25/x
  3. Step 3: Cross multiply
    3,210.75x = 4,816.94 × 902.25
  4. Step 4: Simplify right side
    3,210.75x = 4,346,079.60
  5. Step 5: Solve for x
    x = 4,346,079.60/3,210.75
  6. Step 6: Final answer
    x = 1,353.60

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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.