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Finding the Fourth Proportional to 4,878.64, 6,733.02 and 2,782.72

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Solution

The fourth proportional to 4,878.64, 6,733.02 and 2,782.72 is: 3,840.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.64 : 6,733.02 = 2,782.72 : x
  2. Step 2: Convert to fraction form
    4,878.64/6,733.02 = 2,782.72/x
  3. Step 3: Cross multiply
    4,878.64x = 6,733.02 × 2,782.72
  4. Step 4: Simplify right side
    4,878.64x = 18,736,109.41
  5. Step 5: Solve for x
    x = 18,736,109.41/4,878.64
  6. Step 6: Final answer
    x = 3,840.44

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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.