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Finding the Fourth Proportional to 6,856.25, 10,280.70 and 2,174.99

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Solution

The fourth proportional to 6,856.25, 10,280.70 and 2,174.99 is: 3,261.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.25 : 10,280.70 = 2,174.99 : x
  2. Step 2: Convert to fraction form
    6,856.25/10,280.70 = 2,174.99/x
  3. Step 3: Cross multiply
    6,856.25x = 10,280.70 × 2,174.99
  4. Step 4: Simplify right side
    6,856.25x = 22,360,368.29
  5. Step 5: Solve for x
    x = 22,360,368.29/6,856.25
  6. Step 6: Final answer
    x = 3,261.31

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