Home / 1,646.33-2,470.07-824.42

Finding the Fourth Proportional to 1,646.33, 2,470.07 and 824.42

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Solution

The fourth proportional to 1,646.33, 2,470.07 and 824.42 is: 1,236.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.33 : 2,470.07 = 824.42 : x
  2. Step 2: Convert to fraction form
    1,646.33/2,470.07 = 824.42/x
  3. Step 3: Cross multiply
    1,646.33x = 2,470.07 × 824.42
  4. Step 4: Simplify right side
    1,646.33x = 2,036,383.35
  5. Step 5: Solve for x
    x = 2,036,383.35/1,646.33
  6. Step 6: Final answer
    x = 1,236.92

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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.