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Finding the Fourth Proportional to 7,873.68, 11,812.56 and 2,943.36

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Solution

The fourth proportional to 7,873.68, 11,812.56 and 2,943.36 is: 4,415.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.68 : 11,812.56 = 2,943.36 : x
  2. Step 2: Convert to fraction form
    7,873.68/11,812.56 = 2,943.36/x
  3. Step 3: Cross multiply
    7,873.68x = 11,812.56 × 2,943.36
  4. Step 4: Simplify right side
    7,873.68x = 34,768,605.56
  5. Step 5: Solve for x
    x = 34,768,605.56/7,873.68
  6. Step 6: Final answer
    x = 4,415.80

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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.