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Finding the Fourth Proportional to 7,903.78, 11,857.47 and 2,709.34

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Solution

The fourth proportional to 7,903.78, 11,857.47 and 2,709.34 is: 4,064.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903.78 : 11,857.47 = 2,709.34 : x
  2. Step 2: Convert to fraction form
    7,903.78/11,857.47 = 2,709.34/x
  3. Step 3: Cross multiply
    7,903.78x = 11,857.47 × 2,709.34
  4. Step 4: Simplify right side
    7,903.78x = 32,125,917.77
  5. Step 5: Solve for x
    x = 32,125,917.77/7,903.78
  6. Step 6: Final answer
    x = 4,064.63

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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.