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Finding the Fourth Proportional to 5,322.78, 7,984.53 and 1,811.34

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Solution

The fourth proportional to 5,322.78, 7,984.53 and 1,811.34 is: 2,717.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.78 : 7,984.53 = 1,811.34 : x
  2. Step 2: Convert to fraction form
    5,322.78/7,984.53 = 1,811.34/x
  3. Step 3: Cross multiply
    5,322.78x = 7,984.53 × 1,811.34
  4. Step 4: Simplify right side
    5,322.78x = 14,462,698.57
  5. Step 5: Solve for x
    x = 14,462,698.57/5,322.78
  6. Step 6: Final answer
    x = 2,717.13

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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.