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Finding the Fourth Proportional to 2,461.21, 3,693.02 and 2,138.02

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Solution

The fourth proportional to 2,461.21, 3,693.02 and 2,138.02 is: 3,208.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.21 : 3,693.02 = 2,138.02 : x
  2. Step 2: Convert to fraction form
    2,461.21/3,693.02 = 2,138.02/x
  3. Step 3: Cross multiply
    2,461.21x = 3,693.02 × 2,138.02
  4. Step 4: Simplify right side
    2,461.21x = 7,895,750.62
  5. Step 5: Solve for x
    x = 7,895,750.62/2,461.21
  6. Step 6: Final answer
    x = 3,208.08

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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.