Home / 5,220-7,828.83-1,521.27

Finding the Fourth Proportional to 5,220, 7,828.83 and 1,521.27

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Solution

The fourth proportional to 5,220, 7,828.83 and 1,521.27 is: 2,281.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220 : 7,828.83 = 1,521.27 : x
  2. Step 2: Convert to fraction form
    5,220/7,828.83 = 1,521.27/x
  3. Step 3: Cross multiply
    5,220x = 7,828.83 × 1,521.27
  4. Step 4: Simplify right side
    5,220x = 11,909,764.21
  5. Step 5: Solve for x
    x = 11,909,764.21/5,220
  6. Step 6: Final answer
    x = 2,281.56

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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.