Home / 1,693.16-2,334.38-1,409.56

Finding the Fourth Proportional to 1,693.16, 2,334.38 and 1,409.56

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Solution

The fourth proportional to 1,693.16, 2,334.38 and 1,409.56 is: 1,943.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.16 : 2,334.38 = 1,409.56 : x
  2. Step 2: Convert to fraction form
    1,693.16/2,334.38 = 1,409.56/x
  3. Step 3: Cross multiply
    1,693.16x = 2,334.38 × 1,409.56
  4. Step 4: Simplify right side
    1,693.16x = 3,290,441.07
  5. Step 5: Solve for x
    x = 3,290,441.07/1,693.16
  6. Step 6: Final answer
    x = 1,943.37

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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.