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Finding the Fourth Proportional to 4,978.25, 6,870.41 and 2,854.43

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Solution

The fourth proportional to 4,978.25, 6,870.41 and 2,854.43 is: 3,939.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.25 : 6,870.41 = 2,854.43 : x
  2. Step 2: Convert to fraction form
    4,978.25/6,870.41 = 2,854.43/x
  3. Step 3: Cross multiply
    4,978.25x = 6,870.41 × 2,854.43
  4. Step 4: Simplify right side
    4,978.25x = 19,611,055.79
  5. Step 5: Solve for x
    x = 19,611,055.79/4,978.25
  6. Step 6: Final answer
    x = 3,939.35

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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.