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Finding the Fourth Proportional to 2,334.40, 3,501.20 and 872.80

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Solution

The fourth proportional to 2,334.40, 3,501.20 and 872.80 is: 1,309.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.40 : 3,501.20 = 872.80 : x
  2. Step 2: Convert to fraction form
    2,334.40/3,501.20 = 872.80/x
  3. Step 3: Cross multiply
    2,334.40x = 3,501.20 × 872.80
  4. Step 4: Simplify right side
    2,334.40x = 3,055,847.36
  5. Step 5: Solve for x
    x = 3,055,847.36/2,334.40
  6. Step 6: Final answer
    x = 1,309.05

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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.