Home / 2,210.32-3,316.01-823.70

Finding the Fourth Proportional to 2,210.32, 3,316.01 and 823.70

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Solution

The fourth proportional to 2,210.32, 3,316.01 and 823.70 is: 1,235.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.32 : 3,316.01 = 823.70 : x
  2. Step 2: Convert to fraction form
    2,210.32/3,316.01 = 823.70/x
  3. Step 3: Cross multiply
    2,210.32x = 3,316.01 × 823.70
  4. Step 4: Simplify right side
    2,210.32x = 2,731,401.61
  5. Step 5: Solve for x
    x = 2,731,401.61/2,210.32
  6. Step 6: Final answer
    x = 1,235.75

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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.