Home / 5,213-7,817.59-1,514.23

Finding the Fourth Proportional to 5,213, 7,817.59 and 1,514.23

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Solution

The fourth proportional to 5,213, 7,817.59 and 1,514.23 is: 2,270.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213 : 7,817.59 = 1,514.23 : x
  2. Step 2: Convert to fraction form
    5,213/7,817.59 = 1,514.23/x
  3. Step 3: Cross multiply
    5,213x = 7,817.59 × 1,514.23
  4. Step 4: Simplify right side
    5,213x = 11,837,629.31
  5. Step 5: Solve for x
    x = 11,837,629.31/5,213
  6. Step 6: Final answer
    x = 2,270.79

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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.