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Finding the Fourth Proportional to 13,321, 18,382.98 and 7,732

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Solution

The fourth proportional to 13,321, 18,382.98 and 7,732 is: 10,670.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,321 : 18,382.98 = 7,732 : x
  2. Step 2: Convert to fraction form
    13,321/18,382.98 = 7,732/x
  3. Step 3: Cross multiply
    13,321x = 18,382.98 × 7,732
  4. Step 4: Simplify right side
    13,321x = 142,137,201.36
  5. Step 5: Solve for x
    x = 142,137,201.36/13,321
  6. Step 6: Final answer
    x = 10,670.16

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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.