Home / 1,945.64-2,684.90-1,106.36

Finding the Fourth Proportional to 1,945.64, 2,684.90 and 1,106.36

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Solution

The fourth proportional to 1,945.64, 2,684.90 and 1,106.36 is: 1,526.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.64 : 2,684.90 = 1,106.36 : x
  2. Step 2: Convert to fraction form
    1,945.64/2,684.90 = 1,106.36/x
  3. Step 3: Cross multiply
    1,945.64x = 2,684.90 × 1,106.36
  4. Step 4: Simplify right side
    1,945.64x = 2,970,465.96
  5. Step 5: Solve for x
    x = 2,970,465.96/1,945.64
  6. Step 6: Final answer
    x = 1,526.73

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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.