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Finding the Fourth Proportional to 3,674.78, 5,072.30 and 2,928.47

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Solution

The fourth proportional to 3,674.78, 5,072.30 and 2,928.47 is: 4,042.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.78 : 5,072.30 = 2,928.47 : x
  2. Step 2: Convert to fraction form
    3,674.78/5,072.30 = 2,928.47/x
  3. Step 3: Cross multiply
    3,674.78x = 5,072.30 × 2,928.47
  4. Step 4: Simplify right side
    3,674.78x = 14,854,094.36
  5. Step 5: Solve for x
    x = 14,854,094.36/3,674.78
  6. Step 6: Final answer
    x = 4,042.17

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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.