Home / 2,210.67-3,315.87-823.47

Finding the Fourth Proportional to 2,210.67, 3,315.87 and 823.47

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Solution

The fourth proportional to 2,210.67, 3,315.87 and 823.47 is: 1,235.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.67 : 3,315.87 = 823.47 : x
  2. Step 2: Convert to fraction form
    2,210.67/3,315.87 = 823.47/x
  3. Step 3: Cross multiply
    2,210.67x = 3,315.87 × 823.47
  4. Step 4: Simplify right side
    2,210.67x = 2,730,519.47
  5. Step 5: Solve for x
    x = 2,730,519.47/2,210.67
  6. Step 6: Final answer
    x = 1,235.15

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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.