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Finding the Fourth Proportional to 8,072.72, 11,140.46 and 4,885.98

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Solution

The fourth proportional to 8,072.72, 11,140.46 and 4,885.98 is: 6,742.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072.72 : 11,140.46 = 4,885.98 : x
  2. Step 2: Convert to fraction form
    8,072.72/11,140.46 = 4,885.98/x
  3. Step 3: Cross multiply
    8,072.72x = 11,140.46 × 4,885.98
  4. Step 4: Simplify right side
    8,072.72x = 54,432,064.75
  5. Step 5: Solve for x
    x = 54,432,064.75/8,072.72
  6. Step 6: Final answer
    x = 6,742.72

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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.