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Finding the Fourth Proportional to 12,934.98, 17,851.68 and 8,219.34

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Solution

The fourth proportional to 12,934.98, 17,851.68 and 8,219.34 is: 11,343.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,934.98 : 17,851.68 = 8,219.34 : x
  2. Step 2: Convert to fraction form
    12,934.98/17,851.68 = 8,219.34/x
  3. Step 3: Cross multiply
    12,934.98x = 17,851.68 × 8,219.34
  4. Step 4: Simplify right side
    12,934.98x = 146,729,027.49
  5. Step 5: Solve for x
    x = 146,729,027.49/12,934.98
  6. Step 6: Final answer
    x = 11,343.58

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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.