Home / 1,647.14-2,469.54-824.82

Finding the Fourth Proportional to 1,647.14, 2,469.54 and 824.82

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Solution

The fourth proportional to 1,647.14, 2,469.54 and 824.82 is: 1,236.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.14 : 2,469.54 = 824.82 : x
  2. Step 2: Convert to fraction form
    1,647.14/2,469.54 = 824.82/x
  3. Step 3: Cross multiply
    1,647.14x = 2,469.54 × 824.82
  4. Step 4: Simplify right side
    1,647.14x = 2,036,925.98
  5. Step 5: Solve for x
    x = 2,036,925.98/1,647.14
  6. Step 6: Final answer
    x = 1,236.64

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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.