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Finding the Fourth Proportional to 4,039, 6,054.72 and 3,678.28

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Solution

The fourth proportional to 4,039, 6,054.72 and 3,678.28 is: 5,513.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,039 : 6,054.72 = 3,678.28 : x
  2. Step 2: Convert to fraction form
    4,039/6,054.72 = 3,678.28/x
  3. Step 3: Cross multiply
    4,039x = 6,054.72 × 3,678.28
  4. Step 4: Simplify right side
    4,039x = 22,270,955.48
  5. Step 5: Solve for x
    x = 22,270,955.48/4,039
  6. Step 6: Final answer
    x = 5,513.98

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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.