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Finding the Fourth Proportional to 12,705, 19,057.32 and 7,708.56

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Solution

The fourth proportional to 12,705, 19,057.32 and 7,708.56 is: 11,562.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705 : 19,057.32 = 7,708.56 : x
  2. Step 2: Convert to fraction form
    12,705/19,057.32 = 7,708.56/x
  3. Step 3: Cross multiply
    12,705x = 19,057.32 × 7,708.56
  4. Step 4: Simplify right side
    12,705x = 146,904,494.66
  5. Step 5: Solve for x
    x = 146,904,494.66/12,705
  6. Step 6: Final answer
    x = 11,562.73

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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.