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Finding the Fourth Proportional to 9,980.41, 13,774 and 6,348.98

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Solution

The fourth proportional to 9,980.41, 13,774 and 6,348.98 is: 8,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.41 : 13,774 = 6,348.98 : x
  2. Step 2: Convert to fraction form
    9,980.41/13,774 = 6,348.98/x
  3. Step 3: Cross multiply
    9,980.41x = 13,774 × 6,348.98
  4. Step 4: Simplify right side
    9,980.41x = 87,450,850.52
  5. Step 5: Solve for x
    x = 87,450,850.52/9,980.41
  6. Step 6: Final answer
    x = 8,762.25

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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.