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Finding the Fourth Proportional to 12,798.18, 17,662.80 and 8,021.78

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Solution

The fourth proportional to 12,798.18, 17,662.80 and 8,021.78 is: 11,070.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,798.18 : 17,662.80 = 8,021.78 : x
  2. Step 2: Convert to fraction form
    12,798.18/17,662.80 = 8,021.78/x
  3. Step 3: Cross multiply
    12,798.18x = 17,662.80 × 8,021.78
  4. Step 4: Simplify right side
    12,798.18x = 141,687,170.84
  5. Step 5: Solve for x
    x = 141,687,170.84/12,798.18
  6. Step 6: Final answer
    x = 11,070.89

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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.