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Finding the Fourth Proportional to 12,399, 17,110.74 and 6,810.12

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Solution

The fourth proportional to 12,399, 17,110.74 and 6,810.12 is: 9,398.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,399 : 17,110.74 = 6,810.12 : x
  2. Step 2: Convert to fraction form
    12,399/17,110.74 = 6,810.12/x
  3. Step 3: Cross multiply
    12,399x = 17,110.74 × 6,810.12
  4. Step 4: Simplify right side
    12,399x = 116,526,192.69
  5. Step 5: Solve for x
    x = 116,526,192.69/12,399
  6. Step 6: Final answer
    x = 9,398.03

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1.5x scale

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.