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Finding the Fourth Proportional to 5,415.56, 8,116.32 and 2,951

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Solution

The fourth proportional to 5,415.56, 8,116.32 and 2,951 is: 4,422.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.56 : 8,116.32 = 2,951 : x
  2. Step 2: Convert to fraction form
    5,415.56/8,116.32 = 2,951/x
  3. Step 3: Cross multiply
    5,415.56x = 8,116.32 × 2,951
  4. Step 4: Simplify right side
    5,415.56x = 23,951,260.32
  5. Step 5: Solve for x
    x = 23,951,260.32/5,415.56
  6. Step 6: Final answer
    x = 4,422.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.