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Finding the Fourth Proportional to 12,674.40, 18,995.40 and 9,738.18

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Solution

The fourth proportional to 12,674.40, 18,995.40 and 9,738.18 is: 14,594.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.40 : 18,995.40 = 9,738.18 : x
  2. Step 2: Convert to fraction form
    12,674.40/18,995.40 = 9,738.18/x
  3. Step 3: Cross multiply
    12,674.40x = 18,995.40 × 9,738.18
  4. Step 4: Simplify right side
    12,674.40x = 184,980,624.37
  5. Step 5: Solve for x
    x = 184,980,624.37/12,674.40
  6. Step 6: Final answer
    x = 14,594.82

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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.