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Finding the Fourth Proportional to 4,927.72, 7,387.92 and 1,638.88

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Solution

The fourth proportional to 4,927.72, 7,387.92 and 1,638.88 is: 2,457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.72 : 7,387.92 = 1,638.88 : x
  2. Step 2: Convert to fraction form
    4,927.72/7,387.92 = 1,638.88/x
  3. Step 3: Cross multiply
    4,927.72x = 7,387.92 × 1,638.88
  4. Step 4: Simplify right side
    4,927.72x = 12,107,914.33
  5. Step 5: Solve for x
    x = 12,107,914.33/4,927.72
  6. Step 6: Final answer
    x = 2,457.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.