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Finding the Fourth Proportional to 7,893.64, 10,893.54 and 4,357

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Solution

The fourth proportional to 7,893.64, 10,893.54 and 4,357 is: 6,012.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893.64 : 10,893.54 = 4,357 : x
  2. Step 2: Convert to fraction form
    7,893.64/10,893.54 = 4,357/x
  3. Step 3: Cross multiply
    7,893.64x = 10,893.54 × 4,357
  4. Step 4: Simplify right side
    7,893.64x = 47,463,153.78
  5. Step 5: Solve for x
    x = 47,463,153.78/7,893.64
  6. Step 6: Final answer
    x = 6,012.83

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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.