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Finding the Fourth Proportional to 15,965.70, 23,939.70 and 7,407.83

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Solution

The fourth proportional to 15,965.70, 23,939.70 and 7,407.83 is: 11,107.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,965.70 : 23,939.70 = 7,407.83 : x
  2. Step 2: Convert to fraction form
    15,965.70/23,939.70 = 7,407.83/x
  3. Step 3: Cross multiply
    15,965.70x = 23,939.70 × 7,407.83
  4. Step 4: Simplify right side
    15,965.70x = 177,341,108.15
  5. Step 5: Solve for x
    x = 177,341,108.15/15,965.70
  6. Step 6: Final answer
    x = 11,107.63

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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.