Home / 5,100.14-7,648.05-1,814.06

Finding the Fourth Proportional to 5,100.14, 7,648.05 and 1,814.06

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Solution

The fourth proportional to 5,100.14, 7,648.05 and 1,814.06 is: 2,720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.14 : 7,648.05 = 1,814.06 : x
  2. Step 2: Convert to fraction form
    5,100.14/7,648.05 = 1,814.06/x
  3. Step 3: Cross multiply
    5,100.14x = 7,648.05 × 1,814.06
  4. Step 4: Simplify right side
    5,100.14x = 13,874,021.58
  5. Step 5: Solve for x
    x = 13,874,021.58/5,100.14
  6. Step 6: Final answer
    x = 2,720.32

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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.