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Finding the Fourth Proportional to 12,321, 17,002.98 and 6,732

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Solution

The fourth proportional to 12,321, 17,002.98 and 6,732 is: 9,290.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,321 : 17,002.98 = 6,732 : x
  2. Step 2: Convert to fraction form
    12,321/17,002.98 = 6,732/x
  3. Step 3: Cross multiply
    12,321x = 17,002.98 × 6,732
  4. Step 4: Simplify right side
    12,321x = 114,464,061.36
  5. Step 5: Solve for x
    x = 114,464,061.36/12,321
  6. Step 6: Final answer
    x = 9,290.16

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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.