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Finding the Fourth Proportional to 7,838.55, 10,811.50 and 5,002.94

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Solution

The fourth proportional to 7,838.55, 10,811.50 and 5,002.94 is: 6,900.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.55 : 10,811.50 = 5,002.94 : x
  2. Step 2: Convert to fraction form
    7,838.55/10,811.50 = 5,002.94/x
  3. Step 3: Cross multiply
    7,838.55x = 10,811.50 × 5,002.94
  4. Step 4: Simplify right side
    7,838.55x = 54,089,285.81
  5. Step 5: Solve for x
    x = 54,089,285.81/7,838.55
  6. Step 6: Final answer
    x = 6,900.42

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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.