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Finding the Fourth Proportional to 12,620.41, 17,416.62 and 7,842.98

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Solution

The fourth proportional to 12,620.41, 17,416.62 and 7,842.98 is: 10,823.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,620.41 : 17,416.62 = 7,842.98 : x
  2. Step 2: Convert to fraction form
    12,620.41/17,416.62 = 7,842.98/x
  3. Step 3: Cross multiply
    12,620.41x = 17,416.62 × 7,842.98
  4. Step 4: Simplify right side
    12,620.41x = 136,598,245.87
  5. Step 5: Solve for x
    x = 136,598,245.87/12,620.41
  6. Step 6: Final answer
    x = 10,823.60

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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.