Home / 1,527.11-2,107.45-828.48

Finding the Fourth Proportional to 1,527.11, 2,107.45 and 828.48

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Solution

The fourth proportional to 1,527.11, 2,107.45 and 828.48 is: 1,143.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.11 : 2,107.45 = 828.48 : x
  2. Step 2: Convert to fraction form
    1,527.11/2,107.45 = 828.48/x
  3. Step 3: Cross multiply
    1,527.11x = 2,107.45 × 828.48
  4. Step 4: Simplify right side
    1,527.11x = 1,745,989.11
  5. Step 5: Solve for x
    x = 1,745,989.11/1,527.11
  6. Step 6: Final answer
    x = 1,143.33

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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.