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Finding the Fourth Proportional to 1,600.70, 2,209.83 and 1,106.00

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Solution

The fourth proportional to 1,600.70, 2,209.83 and 1,106.00 is: 1,526.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.70 : 2,209.83 = 1,106.00 : x
  2. Step 2: Convert to fraction form
    1,600.70/2,209.83 = 1,106.00/x
  3. Step 3: Cross multiply
    1,600.70x = 2,209.83 × 1,106.00
  4. Step 4: Simplify right side
    1,600.70x = 2,444,063.00
  5. Step 5: Solve for x
    x = 2,444,063.00/1,600.70
  6. Step 6: Final answer
    x = 1,526.87

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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.