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Finding the Fourth Proportional to 7,435.31, 10,260.80 and 4,078.44

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Solution

The fourth proportional to 7,435.31, 10,260.80 and 4,078.44 is: 5,628.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,435.31 : 10,260.80 = 4,078.44 : x
  2. Step 2: Convert to fraction form
    7,435.31/10,260.80 = 4,078.44/x
  3. Step 3: Cross multiply
    7,435.31x = 10,260.80 × 4,078.44
  4. Step 4: Simplify right side
    7,435.31x = 41,848,036.76
  5. Step 5: Solve for x
    x = 41,848,036.76/7,435.31
  6. Step 6: Final answer
    x = 5,628.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.