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Finding the Fourth Proportional to 4,578, 6,319.20 and 3,084.96

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Solution

The fourth proportional to 4,578, 6,319.20 and 3,084.96 is: 4,258.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578 : 6,319.20 = 3,084.96 : x
  2. Step 2: Convert to fraction form
    4,578/6,319.20 = 3,084.96/x
  3. Step 3: Cross multiply
    4,578x = 6,319.20 × 3,084.96
  4. Step 4: Simplify right side
    4,578x = 19,494,479.23
  5. Step 5: Solve for x
    x = 19,494,479.23/4,578
  6. Step 6: Final answer
    x = 4,258.30

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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.