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Finding the Fourth Proportional to 2,884.34, 3,978.90 and 1,703.36

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Solution

The fourth proportional to 2,884.34, 3,978.90 and 1,703.36 is: 2,349.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.34 : 3,978.90 = 1,703.36 : x
  2. Step 2: Convert to fraction form
    2,884.34/3,978.90 = 1,703.36/x
  3. Step 3: Cross multiply
    2,884.34x = 3,978.90 × 1,703.36
  4. Step 4: Simplify right side
    2,884.34x = 6,777,479.21
  5. Step 5: Solve for x
    x = 6,777,479.21/2,884.34
  6. Step 6: Final answer
    x = 2,349.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.