Home / 5,219-7,828.50-1,521.32

Finding the Fourth Proportional to 5,219, 7,828.50 and 1,521.32

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Solution

The fourth proportional to 5,219, 7,828.50 and 1,521.32 is: 2,281.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219 : 7,828.50 = 1,521.32 : x
  2. Step 2: Convert to fraction form
    5,219/7,828.50 = 1,521.32/x
  3. Step 3: Cross multiply
    5,219x = 7,828.50 × 1,521.32
  4. Step 4: Simplify right side
    5,219x = 11,909,653.62
  5. Step 5: Solve for x
    x = 11,909,653.62/5,219
  6. Step 6: Final answer
    x = 2,281.98

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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.