Home / 1,435.24-1,967.73-1,409.32

Finding the Fourth Proportional to 1,435.24, 1,967.73 and 1,409.32

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Solution

The fourth proportional to 1,435.24, 1,967.73 and 1,409.32 is: 1,932.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.24 : 1,967.73 = 1,409.32 : x
  2. Step 2: Convert to fraction form
    1,435.24/1,967.73 = 1,409.32/x
  3. Step 3: Cross multiply
    1,435.24x = 1,967.73 × 1,409.32
  4. Step 4: Simplify right side
    1,435.24x = 2,773,161.24
  5. Step 5: Solve for x
    x = 2,773,161.24/1,435.24
  6. Step 6: Final answer
    x = 1,932.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.