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Finding the Fourth Proportional to 12,706.88, 19,089.60 and 12,182

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Solution

The fourth proportional to 12,706.88, 19,089.60 and 12,182 is: 18,301.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.88 : 19,089.60 = 12,182 : x
  2. Step 2: Convert to fraction form
    12,706.88/19,089.60 = 12,182/x
  3. Step 3: Cross multiply
    12,706.88x = 19,089.60 × 12,182
  4. Step 4: Simplify right side
    12,706.88x = 232,549,507.20
  5. Step 5: Solve for x
    x = 232,549,507.20/12,706.88
  6. Step 6: Final answer
    x = 18,301.07

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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.