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Finding the Fourth Proportional to 5,302.78, 7,319.16 and 3,065.94

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Solution

The fourth proportional to 5,302.78, 7,319.16 and 3,065.94 is: 4,231.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.78 : 7,319.16 = 3,065.94 : x
  2. Step 2: Convert to fraction form
    5,302.78/7,319.16 = 3,065.94/x
  3. Step 3: Cross multiply
    5,302.78x = 7,319.16 × 3,065.94
  4. Step 4: Simplify right side
    5,302.78x = 22,440,105.41
  5. Step 5: Solve for x
    x = 22,440,105.41/5,302.78
  6. Step 6: Final answer
    x = 4,231.76

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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.