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Finding the Fourth Proportional to 1,800.54, 2,700.81 and 1,314.54

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Solution

The fourth proportional to 1,800.54, 2,700.81 and 1,314.54 is: 1,971.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.54 : 2,700.81 = 1,314.54 : x
  2. Step 2: Convert to fraction form
    1,800.54/2,700.81 = 1,314.54/x
  3. Step 3: Cross multiply
    1,800.54x = 2,700.81 × 1,314.54
  4. Step 4: Simplify right side
    1,800.54x = 3,550,322.78
  5. Step 5: Solve for x
    x = 3,550,322.78/1,800.54
  6. Step 6: Final answer
    x = 1,971.81

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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.