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Finding the Fourth Proportional to 4,826, 7,239 and 2,090

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Solution

The fourth proportional to 4,826, 7,239 and 2,090 is: 3,135

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,826 : 7,239 = 2,090 : x
  2. Step 2: Convert to fraction form
    4,826/7,239 = 2,090/x
  3. Step 3: Cross multiply
    4,826x = 7,239 × 2,090
  4. Step 4: Simplify right side
    4,826x = 15,129,510
  5. Step 5: Solve for x
    x = 15,129,510/4,826
  6. Step 6: Final answer
    x = 3,135

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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.