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Finding the Fourth Proportional to 7,213.64, 10,813.93 and 2,829.92

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Solution

The fourth proportional to 7,213.64, 10,813.93 and 2,829.92 is: 4,242.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.64 : 10,813.93 = 2,829.92 : x
  2. Step 2: Convert to fraction form
    7,213.64/10,813.93 = 2,829.92/x
  3. Step 3: Cross multiply
    7,213.64x = 10,813.93 × 2,829.92
  4. Step 4: Simplify right side
    7,213.64x = 30,602,515.60
  5. Step 5: Solve for x
    x = 30,602,515.60/7,213.64
  6. Step 6: Final answer
    x = 4,242.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.