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Finding the Fourth Proportional to 2,968.47, 4,092.90 and 2,401.90

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Solution

The fourth proportional to 2,968.47, 4,092.90 and 2,401.90 is: 3,311.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.47 : 4,092.90 = 2,401.90 : x
  2. Step 2: Convert to fraction form
    2,968.47/4,092.90 = 2,401.90/x
  3. Step 3: Cross multiply
    2,968.47x = 4,092.90 × 2,401.90
  4. Step 4: Simplify right side
    2,968.47x = 9,830,736.51
  5. Step 5: Solve for x
    x = 9,830,736.51/2,968.47
  6. Step 6: Final answer
    x = 3,311.72

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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.