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Finding the Fourth Proportional to 4,578, 6,857.28 and 4,322.40

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Solution

The fourth proportional to 4,578, 6,857.28 and 4,322.40 is: 6,474.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578 : 6,857.28 = 4,322.40 : x
  2. Step 2: Convert to fraction form
    4,578/6,857.28 = 4,322.40/x
  3. Step 3: Cross multiply
    4,578x = 6,857.28 × 4,322.40
  4. Step 4: Simplify right side
    4,578x = 29,639,907.07
  5. Step 5: Solve for x
    x = 29,639,907.07/4,578
  6. Step 6: Final answer
    x = 6,474.42

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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.