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Finding the Fourth Proportional to 18,789, 25,928.86 and 10,406.76

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Solution

The fourth proportional to 18,789, 25,928.86 and 10,406.76 is: 14,361.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,789 : 25,928.86 = 10,406.76 : x
  2. Step 2: Convert to fraction form
    18,789/25,928.86 = 10,406.76/x
  3. Step 3: Cross multiply
    18,789x = 25,928.86 × 10,406.76
  4. Step 4: Simplify right side
    18,789x = 269,835,423.09
  5. Step 5: Solve for x
    x = 269,835,423.09/18,789
  6. Step 6: Final answer
    x = 14,361.35

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