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Finding the Fourth Proportional to 12,704, 19,055.82 and 7,707.56

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Solution

The fourth proportional to 12,704, 19,055.82 and 7,707.56 is: 11,561.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704 : 19,055.82 = 7,707.56 : x
  2. Step 2: Convert to fraction form
    12,704/19,055.82 = 7,707.56/x
  3. Step 3: Cross multiply
    12,704x = 19,055.82 × 7,707.56
  4. Step 4: Simplify right side
    12,704x = 146,873,876.00
  5. Step 5: Solve for x
    x = 146,873,876.00/12,704
  6. Step 6: Final answer
    x = 11,561.23

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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.