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Finding the Fourth Proportional to 31,807.78, 43,913.79 and 19,887.28

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Solution

The fourth proportional to 31,807.78, 43,913.79 and 19,887.28 is: 27,456.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,807.78 : 43,913.79 = 19,887.28 : x
  2. Step 2: Convert to fraction form
    31,807.78/43,913.79 = 19,887.28/x
  3. Step 3: Cross multiply
    31,807.78x = 43,913.79 × 19,887.28
  4. Step 4: Simplify right side
    31,807.78x = 873,325,837.59
  5. Step 5: Solve for x
    x = 873,325,837.59/31,807.78
  6. Step 6: Final answer
    x = 27,456.36

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1.5x scale

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.