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Finding the Fourth Proportional to 3,210.68, 4,816.20 and 902

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Solution

The fourth proportional to 3,210.68, 4,816.20 and 902 is: 1,353.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.68 : 4,816.20 = 902 : x
  2. Step 2: Convert to fraction form
    3,210.68/4,816.20 = 902/x
  3. Step 3: Cross multiply
    3,210.68x = 4,816.20 × 902
  4. Step 4: Simplify right side
    3,210.68x = 4,344,212.40
  5. Step 5: Solve for x
    x = 4,344,212.40/3,210.68
  6. Step 6: Final answer
    x = 1,353.05

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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.