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Finding the Fourth Proportional to 5,112.68, 7,054.32 and 3,698.48

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Solution

The fourth proportional to 5,112.68, 7,054.32 and 3,698.48 is: 5,103.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,112.68 : 7,054.32 = 3,698.48 : x
  2. Step 2: Convert to fraction form
    5,112.68/7,054.32 = 3,698.48/x
  3. Step 3: Cross multiply
    5,112.68x = 7,054.32 × 3,698.48
  4. Step 4: Simplify right side
    5,112.68x = 26,090,261.43
  5. Step 5: Solve for x
    x = 26,090,261.43/5,112.68
  6. Step 6: Final answer
    x = 5,103.05

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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.