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Finding the Fourth Proportional to 36,570, 54,855 and 12,871.97

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Solution

The fourth proportional to 36,570, 54,855 and 12,871.97 is: 19,307.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,570 : 54,855 = 12,871.97 : x
  2. Step 2: Convert to fraction form
    36,570/54,855 = 12,871.97/x
  3. Step 3: Cross multiply
    36,570x = 54,855 × 12,871.97
  4. Step 4: Simplify right side
    36,570x = 706,091,914.35
  5. Step 5: Solve for x
    x = 706,091,914.35/36,570
  6. Step 6: Final answer
    x = 19,307.96

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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.