Home / 2,465.70-3,698.61-822.39

Finding the Fourth Proportional to 2,465.70, 3,698.61 and 822.39

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Solution

The fourth proportional to 2,465.70, 3,698.61 and 822.39 is: 1,233.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.70 : 3,698.61 = 822.39 : x
  2. Step 2: Convert to fraction form
    2,465.70/3,698.61 = 822.39/x
  3. Step 3: Cross multiply
    2,465.70x = 3,698.61 × 822.39
  4. Step 4: Simplify right side
    2,465.70x = 3,041,699.88
  5. Step 5: Solve for x
    x = 3,041,699.88/2,465.70
  6. Step 6: Final answer
    x = 1,233.61

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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.