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Finding the Fourth Proportional to 6,952.77, 10,426.98 and 2,271.72

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Solution

The fourth proportional to 6,952.77, 10,426.98 and 2,271.72 is: 3,406.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.77 : 10,426.98 = 2,271.72 : x
  2. Step 2: Convert to fraction form
    6,952.77/10,426.98 = 2,271.72/x
  3. Step 3: Cross multiply
    6,952.77x = 10,426.98 × 2,271.72
  4. Step 4: Simplify right side
    6,952.77x = 23,687,179.01
  5. Step 5: Solve for x
    x = 23,687,179.01/6,952.77
  6. Step 6: Final answer
    x = 3,406.87

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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.