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Finding the Fourth Proportional to 5,071.32, 6,998.94 and 2,976.12

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Solution

The fourth proportional to 5,071.32, 6,998.94 and 2,976.12 is: 4,107.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.32 : 6,998.94 = 2,976.12 : x
  2. Step 2: Convert to fraction form
    5,071.32/6,998.94 = 2,976.12/x
  3. Step 3: Cross multiply
    5,071.32x = 6,998.94 × 2,976.12
  4. Step 4: Simplify right side
    5,071.32x = 20,829,685.31
  5. Step 5: Solve for x
    x = 20,829,685.31/5,071.32
  6. Step 6: Final answer
    x = 4,107.35

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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.