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Finding the Fourth Proportional to 2,604.51, 3,592.71 and 1,942.11

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Solution

The fourth proportional to 2,604.51, 3,592.71 and 1,942.11 is: 2,678.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.51 : 3,592.71 = 1,942.11 : x
  2. Step 2: Convert to fraction form
    2,604.51/3,592.71 = 1,942.11/x
  3. Step 3: Cross multiply
    2,604.51x = 3,592.71 × 1,942.11
  4. Step 4: Simplify right side
    2,604.51x = 6,977,438.02
  5. Step 5: Solve for x
    x = 6,977,438.02/2,604.51
  6. Step 6: Final answer
    x = 2,678.98

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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.