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Finding the Fourth Proportional to 5,152.35, 7,111.31 and 2,914.32

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Solution

The fourth proportional to 5,152.35, 7,111.31 and 2,914.32 is: 4,022.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.35 : 7,111.31 = 2,914.32 : x
  2. Step 2: Convert to fraction form
    5,152.35/7,111.31 = 2,914.32/x
  3. Step 3: Cross multiply
    5,152.35x = 7,111.31 × 2,914.32
  4. Step 4: Simplify right side
    5,152.35x = 20,724,650.74
  5. Step 5: Solve for x
    x = 20,724,650.74/5,152.35
  6. Step 6: Final answer
    x = 4,022.37

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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.