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Finding the Fourth Proportional to 2,893.88, 4,342.26 and 2,130.68

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Solution

The fourth proportional to 2,893.88, 4,342.26 and 2,130.68 is: 3,197.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.88 : 4,342.26 = 2,130.68 : x
  2. Step 2: Convert to fraction form
    2,893.88/4,342.26 = 2,130.68/x
  3. Step 3: Cross multiply
    2,893.88x = 4,342.26 × 2,130.68
  4. Step 4: Simplify right side
    2,893.88x = 9,251,966.54
  5. Step 5: Solve for x
    x = 9,251,966.54/2,893.88
  6. Step 6: Final answer
    x = 3,197.08

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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.