Home / 1,527.06-2,107.36-828.44

Finding the Fourth Proportional to 1,527.06, 2,107.36 and 828.44

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Solution

The fourth proportional to 1,527.06, 2,107.36 and 828.44 is: 1,143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.06 : 2,107.36 = 828.44 : x
  2. Step 2: Convert to fraction form
    1,527.06/2,107.36 = 828.44/x
  3. Step 3: Cross multiply
    1,527.06x = 2,107.36 × 828.44
  4. Step 4: Simplify right side
    1,527.06x = 1,745,821.32
  5. Step 5: Solve for x
    x = 1,745,821.32/1,527.06
  6. Step 6: Final answer
    x = 1,143.26

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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.