Home / 2,210.68-3,315.06-823.78

Finding the Fourth Proportional to 2,210.68, 3,315.06 and 823.78

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Solution

The fourth proportional to 2,210.68, 3,315.06 and 823.78 is: 1,235.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.68 : 3,315.06 = 823.78 : x
  2. Step 2: Convert to fraction form
    2,210.68/3,315.06 = 823.78/x
  3. Step 3: Cross multiply
    2,210.68x = 3,315.06 × 823.78
  4. Step 4: Simplify right side
    2,210.68x = 2,730,880.13
  5. Step 5: Solve for x
    x = 2,730,880.13/2,210.68
  6. Step 6: Final answer
    x = 1,235.31

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1.5x scale

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.