Home / 2,210.71-3,315.93-823.86

Finding the Fourth Proportional to 2,210.71, 3,315.93 and 823.86

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Solution

The fourth proportional to 2,210.71, 3,315.93 and 823.86 is: 1,235.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.71 : 3,315.93 = 823.86 : x
  2. Step 2: Convert to fraction form
    2,210.71/3,315.93 = 823.86/x
  3. Step 3: Cross multiply
    2,210.71x = 3,315.93 × 823.86
  4. Step 4: Simplify right side
    2,210.71x = 2,731,862.09
  5. Step 5: Solve for x
    x = 2,731,862.09/2,210.71
  6. Step 6: Final answer
    x = 1,235.74

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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.