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Finding the Fourth Proportional to 7,642, 11,466.24 and 4,127.86

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Solution

The fourth proportional to 7,642, 11,466.24 and 4,127.86 is: 6,193.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642 : 11,466.24 = 4,127.86 : x
  2. Step 2: Convert to fraction form
    7,642/11,466.24 = 4,127.86/x
  3. Step 3: Cross multiply
    7,642x = 11,466.24 × 4,127.86
  4. Step 4: Simplify right side
    7,642x = 47,331,033.45
  5. Step 5: Solve for x
    x = 47,331,033.45/7,642
  6. Step 6: Final answer
    x = 6,193.54

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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.