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Finding the Fourth Proportional to 12,668.61, 17,482 and 7,003.02

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Solution

The fourth proportional to 12,668.61, 17,482 and 7,003.02 is: 9,663.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,668.61 : 17,482 = 7,003.02 : x
  2. Step 2: Convert to fraction form
    12,668.61/17,482 = 7,003.02/x
  3. Step 3: Cross multiply
    12,668.61x = 17,482 × 7,003.02
  4. Step 4: Simplify right side
    12,668.61x = 122,426,839.35
  5. Step 5: Solve for x
    x = 122,426,839.35/12,668.61
  6. Step 6: Final answer
    x = 9,663.79

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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.