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Finding the Fourth Proportional to 12,245.98, 18,374.40 and 6,980.80

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Solution

The fourth proportional to 12,245.98, 18,374.40 and 6,980.80 is: 10,474.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,245.98 : 18,374.40 = 6,980.80 : x
  2. Step 2: Convert to fraction form
    12,245.98/18,374.40 = 6,980.80/x
  3. Step 3: Cross multiply
    12,245.98x = 18,374.40 × 6,980.80
  4. Step 4: Simplify right side
    12,245.98x = 128,268,011.52
  5. Step 5: Solve for x
    x = 128,268,011.52/12,245.98
  6. Step 6: Final answer
    x = 10,474.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.