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Finding the Fourth Proportional to 7,859, 10,845.14 and 4,322

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Solution

The fourth proportional to 7,859, 10,845.14 and 4,322 is: 5,964.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859 : 10,845.14 = 4,322 : x
  2. Step 2: Convert to fraction form
    7,859/10,845.14 = 4,322/x
  3. Step 3: Cross multiply
    7,859x = 10,845.14 × 4,322
  4. Step 4: Simplify right side
    7,859x = 46,872,695.08
  5. Step 5: Solve for x
    x = 46,872,695.08/7,859
  6. Step 6: Final answer
    x = 5,964.21

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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.