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Finding the Fourth Proportional to 2,386.51, 3,575.53 and 996.79

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Solution

The fourth proportional to 2,386.51, 3,575.53 and 996.79 is: 1,493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.51 : 3,575.53 = 996.79 : x
  2. Step 2: Convert to fraction form
    2,386.51/3,575.53 = 996.79/x
  3. Step 3: Cross multiply
    2,386.51x = 3,575.53 × 996.79
  4. Step 4: Simplify right side
    2,386.51x = 3,564,029.69
  5. Step 5: Solve for x
    x = 3,564,029.69/2,386.51
  6. Step 6: Final answer
    x = 1,493.41

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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.