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Finding the Fourth Proportional to 12,399, 17,110.62 and 6,810

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Solution

The fourth proportional to 12,399, 17,110.62 and 6,810 is: 9,397.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,399 : 17,110.62 = 6,810 : x
  2. Step 2: Convert to fraction form
    12,399/17,110.62 = 6,810/x
  3. Step 3: Cross multiply
    12,399x = 17,110.62 × 6,810
  4. Step 4: Simplify right side
    12,399x = 116,523,322.20
  5. Step 5: Solve for x
    x = 116,523,322.20/12,399
  6. Step 6: Final answer
    x = 9,397.80

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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.