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Finding the Fourth Proportional to 5,148.37, 7,721.83 and 1,638.37

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Solution

The fourth proportional to 5,148.37, 7,721.83 and 1,638.37 is: 2,457.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.37 : 7,721.83 = 1,638.37 : x
  2. Step 2: Convert to fraction form
    5,148.37/7,721.83 = 1,638.37/x
  3. Step 3: Cross multiply
    5,148.37x = 7,721.83 × 1,638.37
  4. Step 4: Simplify right side
    5,148.37x = 12,651,214.62
  5. Step 5: Solve for x
    x = 12,651,214.62/5,148.37
  6. Step 6: Final answer
    x = 2,457.32

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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.