Home / 1,521.45-2,283.14-828.55

Finding the Fourth Proportional to 1,521.45, 2,283.14 and 828.55

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Solution

The fourth proportional to 1,521.45, 2,283.14 and 828.55 is: 1,243.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.45 : 2,283.14 = 828.55 : x
  2. Step 2: Convert to fraction form
    1,521.45/2,283.14 = 828.55/x
  3. Step 3: Cross multiply
    1,521.45x = 2,283.14 × 828.55
  4. Step 4: Simplify right side
    1,521.45x = 1,891,702.33
  5. Step 5: Solve for x
    x = 1,891,702.33/1,521.45
  6. Step 6: Final answer
    x = 1,243.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.