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Finding the Fourth Proportional to 12,709, 19,069.26 and 6,133.96

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Solution

The fourth proportional to 12,709, 19,069.26 and 6,133.96 is: 9,203.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709 : 19,069.26 = 6,133.96 : x
  2. Step 2: Convert to fraction form
    12,709/19,069.26 = 6,133.96/x
  3. Step 3: Cross multiply
    12,709x = 19,069.26 × 6,133.96
  4. Step 4: Simplify right side
    12,709x = 116,970,078.07
  5. Step 5: Solve for x
    x = 116,970,078.07/12,709
  6. Step 6: Final answer
    x = 9,203.72

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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.