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Finding the Fourth Proportional to 2,171.52, 3,256.94 and 784.64

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Solution

The fourth proportional to 2,171.52, 3,256.94 and 784.64 is: 1,176.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.52 : 3,256.94 = 784.64 : x
  2. Step 2: Convert to fraction form
    2,171.52/3,256.94 = 784.64/x
  3. Step 3: Cross multiply
    2,171.52x = 3,256.94 × 784.64
  4. Step 4: Simplify right side
    2,171.52x = 2,555,525.40
  5. Step 5: Solve for x
    x = 2,555,525.40/2,171.52
  6. Step 6: Final answer
    x = 1,176.84

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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.