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Finding the Fourth Proportional to 3,318.94, 4,978.35 and 2,802.26

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Solution

The fourth proportional to 3,318.94, 4,978.35 and 2,802.26 is: 4,203.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.94 : 4,978.35 = 2,802.26 : x
  2. Step 2: Convert to fraction form
    3,318.94/4,978.35 = 2,802.26/x
  3. Step 3: Cross multiply
    3,318.94x = 4,978.35 × 2,802.26
  4. Step 4: Simplify right side
    3,318.94x = 13,950,631.07
  5. Step 5: Solve for x
    x = 13,950,631.07/3,318.94
  6. Step 6: Final answer
    x = 4,203.34

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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.