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Finding the Fourth Proportional to 18,788.50, 25,928.95 and 10,405

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Solution

The fourth proportional to 18,788.50, 25,928.95 and 10,405 is: 14,359.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,788.50 : 25,928.95 = 10,405 : x
  2. Step 2: Convert to fraction form
    18,788.50/25,928.95 = 10,405/x
  3. Step 3: Cross multiply
    18,788.50x = 25,928.95 × 10,405
  4. Step 4: Simplify right side
    18,788.50x = 269,790,724.75
  5. Step 5: Solve for x
    x = 269,790,724.75/18,788.50
  6. Step 6: Final answer
    x = 14,359.35

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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.