Home / 5,235-7,851.58-2,114.22

Finding the Fourth Proportional to 5,235, 7,851.58 and 2,114.22

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Solution

The fourth proportional to 5,235, 7,851.58 and 2,114.22 is: 3,170.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235 : 7,851.58 = 2,114.22 : x
  2. Step 2: Convert to fraction form
    5,235/7,851.58 = 2,114.22/x
  3. Step 3: Cross multiply
    5,235x = 7,851.58 × 2,114.22
  4. Step 4: Simplify right side
    5,235x = 16,599,967.47
  5. Step 5: Solve for x
    x = 16,599,967.47/5,235
  6. Step 6: Final answer
    x = 3,170.96

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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.