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Finding the Fourth Proportional to 7,953.78, 11,931.24 and 2,110.26

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Solution

The fourth proportional to 7,953.78, 11,931.24 and 2,110.26 is: 3,165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,953.78 : 11,931.24 = 2,110.26 : x
  2. Step 2: Convert to fraction form
    7,953.78/11,931.24 = 2,110.26/x
  3. Step 3: Cross multiply
    7,953.78x = 11,931.24 × 2,110.26
  4. Step 4: Simplify right side
    7,953.78x = 25,178,018.52
  5. Step 5: Solve for x
    x = 25,178,018.52/7,953.78
  6. Step 6: Final answer
    x = 3,165.54

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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.