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Finding the Fourth Proportional to 12,805, 19,207.50 and 3,077

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Solution

The fourth proportional to 12,805, 19,207.50 and 3,077 is: 4,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805 : 19,207.50 = 3,077 : x
  2. Step 2: Convert to fraction form
    12,805/19,207.50 = 3,077/x
  3. Step 3: Cross multiply
    12,805x = 19,207.50 × 3,077
  4. Step 4: Simplify right side
    12,805x = 59,101,477.50
  5. Step 5: Solve for x
    x = 59,101,477.50/12,805
  6. Step 6: Final answer
    x = 4,615.50

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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.