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Finding the Fourth Proportional to 5,084, 7,013.78 and 3,405.95

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Solution

The fourth proportional to 5,084, 7,013.78 and 3,405.95 is: 4,698.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,084 : 7,013.78 = 3,405.95 : x
  2. Step 2: Convert to fraction form
    5,084/7,013.78 = 3,405.95/x
  3. Step 3: Cross multiply
    5,084x = 7,013.78 × 3,405.95
  4. Step 4: Simplify right side
    5,084x = 23,888,566.96
  5. Step 5: Solve for x
    x = 23,888,566.96/5,084
  6. Step 6: Final answer
    x = 4,698.77

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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.