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Finding the Fourth Proportional to 4,878.36, 6,731.82 and 3,015

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Solution

The fourth proportional to 4,878.36, 6,731.82 and 3,015 is: 4,160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.36 : 6,731.82 = 3,015 : x
  2. Step 2: Convert to fraction form
    4,878.36/6,731.82 = 3,015/x
  3. Step 3: Cross multiply
    4,878.36x = 6,731.82 × 3,015
  4. Step 4: Simplify right side
    4,878.36x = 20,296,437.30
  5. Step 5: Solve for x
    x = 20,296,437.30/4,878.36
  6. Step 6: Final answer
    x = 4,160.50

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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.