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Finding the Fourth Proportional to 8,271.50, 11,415.40 and 4,546.22

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Solution

The fourth proportional to 8,271.50, 11,415.40 and 4,546.22 is: 6,274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.50 : 11,415.40 = 4,546.22 : x
  2. Step 2: Convert to fraction form
    8,271.50/11,415.40 = 4,546.22/x
  3. Step 3: Cross multiply
    8,271.50x = 11,415.40 × 4,546.22
  4. Step 4: Simplify right side
    8,271.50x = 51,896,919.79
  5. Step 5: Solve for x
    x = 51,896,919.79/8,271.50
  6. Step 6: Final answer
    x = 6,274.18

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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.