Home / 2,384.07-3,575.23-823.67

Finding the Fourth Proportional to 2,384.07, 3,575.23 and 823.67

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Solution

The fourth proportional to 2,384.07, 3,575.23 and 823.67 is: 1,235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.07 : 3,575.23 = 823.67 : x
  2. Step 2: Convert to fraction form
    2,384.07/3,575.23 = 823.67/x
  3. Step 3: Cross multiply
    2,384.07x = 3,575.23 × 823.67
  4. Step 4: Simplify right side
    2,384.07x = 2,944,821.04
  5. Step 5: Solve for x
    x = 2,944,821.04/2,384.07
  6. Step 6: Final answer
    x = 1,235.21

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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.