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Finding the Fourth Proportional to 4,885.56, 7,329.86 and 1,422.82

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Solution

The fourth proportional to 4,885.56, 7,329.86 and 1,422.82 is: 2,134.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,885.56 : 7,329.86 = 1,422.82 : x
  2. Step 2: Convert to fraction form
    4,885.56/7,329.86 = 1,422.82/x
  3. Step 3: Cross multiply
    4,885.56x = 7,329.86 × 1,422.82
  4. Step 4: Simplify right side
    4,885.56x = 10,429,071.41
  5. Step 5: Solve for x
    x = 10,429,071.41/4,885.56
  6. Step 6: Final answer
    x = 2,134.67

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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.