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Finding the Fourth Proportional to 40,028, 55,238.64 and 22,364

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Solution

The fourth proportional to 40,028, 55,238.64 and 22,364 is: 30,862.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,028 : 55,238.64 = 22,364 : x
  2. Step 2: Convert to fraction form
    40,028/55,238.64 = 22,364/x
  3. Step 3: Cross multiply
    40,028x = 55,238.64 × 22,364
  4. Step 4: Simplify right side
    40,028x = 1,235,356,944.96
  5. Step 5: Solve for x
    x = 1,235,356,944.96/40,028
  6. Step 6: Final answer
    x = 30,862.32

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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.