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Finding the Fourth Proportional to 12,703, 19,054.32 and 7,706.56

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Solution

The fourth proportional to 12,703, 19,054.32 and 7,706.56 is: 11,559.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703 : 19,054.32 = 7,706.56 : x
  2. Step 2: Convert to fraction form
    12,703/19,054.32 = 7,706.56/x
  3. Step 3: Cross multiply
    12,703x = 19,054.32 × 7,706.56
  4. Step 4: Simplify right side
    12,703x = 146,843,260.34
  5. Step 5: Solve for x
    x = 146,843,260.34/12,703
  6. Step 6: Final answer
    x = 11,559.73

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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.