Home / 2,210.86-3,316.29-824.17

Finding the Fourth Proportional to 2,210.86, 3,316.29 and 824.17

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Solution

The fourth proportional to 2,210.86, 3,316.29 and 824.17 is: 1,236.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.86 : 3,316.29 = 824.17 : x
  2. Step 2: Convert to fraction form
    2,210.86/3,316.29 = 824.17/x
  3. Step 3: Cross multiply
    2,210.86x = 3,316.29 × 824.17
  4. Step 4: Simplify right side
    2,210.86x = 2,733,182.61
  5. Step 5: Solve for x
    x = 2,733,182.61/2,210.86
  6. Step 6: Final answer
    x = 1,236.26

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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.