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Finding the Fourth Proportional to 26,268, 39,412.80 and 19,283.76

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Solution

The fourth proportional to 26,268, 39,412.80 and 19,283.76 is: 28,933.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,268 : 39,412.80 = 19,283.76 : x
  2. Step 2: Convert to fraction form
    26,268/39,412.80 = 19,283.76/x
  3. Step 3: Cross multiply
    26,268x = 39,412.80 × 19,283.76
  4. Step 4: Simplify right side
    26,268x = 760,026,976.13
  5. Step 5: Solve for x
    x = 760,026,976.13/26,268
  6. Step 6: Final answer
    x = 28,933.57

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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.