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Finding the Fourth Proportional to 6,123.76, 8,438.28 and 5,792.94

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Solution

The fourth proportional to 6,123.76, 8,438.28 and 5,792.94 is: 7,982.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.76 : 8,438.28 = 5,792.94 : x
  2. Step 2: Convert to fraction form
    6,123.76/8,438.28 = 5,792.94/x
  3. Step 3: Cross multiply
    6,123.76x = 8,438.28 × 5,792.94
  4. Step 4: Simplify right side
    6,123.76x = 48,882,449.74
  5. Step 5: Solve for x
    x = 48,882,449.74/6,123.76
  6. Step 6: Final answer
    x = 7,982.42

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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.