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Finding the Fourth Proportional to 7,290.56, 10,065.12 and 4,813.76

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Solution

The fourth proportional to 7,290.56, 10,065.12 and 4,813.76 is: 6,645.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,290.56 : 10,065.12 = 4,813.76 : x
  2. Step 2: Convert to fraction form
    7,290.56/10,065.12 = 4,813.76/x
  3. Step 3: Cross multiply
    7,290.56x = 10,065.12 × 4,813.76
  4. Step 4: Simplify right side
    7,290.56x = 48,451,072.05
  5. Step 5: Solve for x
    x = 48,451,072.05/7,290.56
  6. Step 6: Final answer
    x = 6,645.73

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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.