Home / 5,218.56-7,828-1,521.20

Finding the Fourth Proportional to 5,218.56, 7,828 and 1,521.20

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Solution

The fourth proportional to 5,218.56, 7,828 and 1,521.20 is: 2,281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.56 : 7,828 = 1,521.20 : x
  2. Step 2: Convert to fraction form
    5,218.56/7,828 = 1,521.20/x
  3. Step 3: Cross multiply
    5,218.56x = 7,828 × 1,521.20
  4. Step 4: Simplify right side
    5,218.56x = 11,907,953.60
  5. Step 5: Solve for x
    x = 11,907,953.60/5,218.56
  6. Step 6: Final answer
    x = 2,281.85

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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.