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Finding the Fourth Proportional to 4,856.78, 6,702.14 and 2,971.51

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Solution

The fourth proportional to 4,856.78, 6,702.14 and 2,971.51 is: 4,100.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.78 : 6,702.14 = 2,971.51 : x
  2. Step 2: Convert to fraction form
    4,856.78/6,702.14 = 2,971.51/x
  3. Step 3: Cross multiply
    4,856.78x = 6,702.14 × 2,971.51
  4. Step 4: Simplify right side
    4,856.78x = 19,915,466.70
  5. Step 5: Solve for x
    x = 19,915,466.70/4,856.78
  6. Step 6: Final answer
    x = 4,100.55

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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.