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Finding the Fourth Proportional to 48,284, 66,635.76 and 28,415.84

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Solution

The fourth proportional to 48,284, 66,635.76 and 28,415.84 is: 39,216.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,284 : 66,635.76 = 28,415.84 : x
  2. Step 2: Convert to fraction form
    48,284/66,635.76 = 28,415.84/x
  3. Step 3: Cross multiply
    48,284x = 66,635.76 × 28,415.84
  4. Step 4: Simplify right side
    48,284x = 1,893,511,094.44
  5. Step 5: Solve for x
    x = 1,893,511,094.44/48,284
  6. Step 6: Final answer
    x = 39,216.12

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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.