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Finding the Fourth Proportional to 2,250, 3,105.12 and 1,318.80

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Solution

The fourth proportional to 2,250, 3,105.12 and 1,318.80 is: 1,820.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250 : 3,105.12 = 1,318.80 : x
  2. Step 2: Convert to fraction form
    2,250/3,105.12 = 1,318.80/x
  3. Step 3: Cross multiply
    2,250x = 3,105.12 × 1,318.80
  4. Step 4: Simplify right side
    2,250x = 4,095,032.26
  5. Step 5: Solve for x
    x = 4,095,032.26/2,250
  6. Step 6: Final answer
    x = 1,820.01

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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.