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Finding the Fourth Proportional to 2,826, 3,907.17 and 2,703.60

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Solution

The fourth proportional to 2,826, 3,907.17 and 2,703.60 is: 3,737.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826 : 3,907.17 = 2,703.60 : x
  2. Step 2: Convert to fraction form
    2,826/3,907.17 = 2,703.60/x
  3. Step 3: Cross multiply
    2,826x = 3,907.17 × 2,703.60
  4. Step 4: Simplify right side
    2,826x = 10,563,424.81
  5. Step 5: Solve for x
    x = 10,563,424.81/2,826
  6. Step 6: Final answer
    x = 3,737.94

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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.