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Finding the Fourth Proportional to 2,992.54, 4,116 and 2,401.78

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Solution

The fourth proportional to 2,992.54, 4,116 and 2,401.78 is: 3,303.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.54 : 4,116 = 2,401.78 : x
  2. Step 2: Convert to fraction form
    2,992.54/4,116 = 2,401.78/x
  3. Step 3: Cross multiply
    2,992.54x = 4,116 × 2,401.78
  4. Step 4: Simplify right side
    2,992.54x = 9,885,726.48
  5. Step 5: Solve for x
    x = 9,885,726.48/2,992.54
  6. Step 6: Final answer
    x = 3,303.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.