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Finding the Fourth Proportional to 12,853.84, 19,163.67 and 12,530.65

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Solution

The fourth proportional to 12,853.84, 19,163.67 and 12,530.65 is: 18,681.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.84 : 19,163.67 = 12,530.65 : x
  2. Step 2: Convert to fraction form
    12,853.84/19,163.67 = 12,530.65/x
  3. Step 3: Cross multiply
    12,853.84x = 19,163.67 × 12,530.65
  4. Step 4: Simplify right side
    12,853.84x = 240,133,241.49
  5. Step 5: Solve for x
    x = 240,133,241.49/12,853.84
  6. Step 6: Final answer
    x = 18,681.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.