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Finding the Fourth Proportional to 5,435.86, 7,501.26 and 3,078.13

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Solution

The fourth proportional to 5,435.86, 7,501.26 and 3,078.13 is: 4,247.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435.86 : 7,501.26 = 3,078.13 : x
  2. Step 2: Convert to fraction form
    5,435.86/7,501.26 = 3,078.13/x
  3. Step 3: Cross multiply
    5,435.86x = 7,501.26 × 3,078.13
  4. Step 4: Simplify right side
    5,435.86x = 23,089,853.44
  5. Step 5: Solve for x
    x = 23,089,853.44/5,435.86
  6. Step 6: Final answer
    x = 4,247.69

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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.