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Finding the Fourth Proportional to 35,978.70, 49,650.66 and 19,845.65

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Solution

The fourth proportional to 35,978.70, 49,650.66 and 19,845.65 is: 27,387.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,978.70 : 49,650.66 = 19,845.65 : x
  2. Step 2: Convert to fraction form
    35,978.70/49,650.66 = 19,845.65/x
  3. Step 3: Cross multiply
    35,978.70x = 49,650.66 × 19,845.65
  4. Step 4: Simplify right side
    35,978.70x = 985,349,484.14
  5. Step 5: Solve for x
    x = 985,349,484.14/35,978.70
  6. Step 6: Final answer
    x = 27,387.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.