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Finding the Fourth Proportional to 1,800.16, 2,700.07 and 1,106.46

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Solution

The fourth proportional to 1,800.16, 2,700.07 and 1,106.46 is: 1,659.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.16 : 2,700.07 = 1,106.46 : x
  2. Step 2: Convert to fraction form
    1,800.16/2,700.07 = 1,106.46/x
  3. Step 3: Cross multiply
    1,800.16x = 2,700.07 × 1,106.46
  4. Step 4: Simplify right side
    1,800.16x = 2,987,516.69
  5. Step 5: Solve for x
    x = 2,987,516.69/1,800.16
  6. Step 6: Final answer
    x = 1,659.59

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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.