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Finding the Fourth Proportional to 34,659, 52,011.54 and 12,771

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Solution

The fourth proportional to 34,659, 52,011.54 and 12,771 is: 19,164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,659 : 52,011.54 = 12,771 : x
  2. Step 2: Convert to fraction form
    34,659/52,011.54 = 12,771/x
  3. Step 3: Cross multiply
    34,659x = 52,011.54 × 12,771
  4. Step 4: Simplify right side
    34,659x = 664,239,377.34
  5. Step 5: Solve for x
    x = 664,239,377.34/34,659
  6. Step 6: Final answer
    x = 19,164.99

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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.