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Finding the Fourth Proportional to 18,077.94, 24,947.30 and 10,120.16

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Solution

The fourth proportional to 18,077.94, 24,947.30 and 10,120.16 is: 13,965.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,077.94 : 24,947.30 = 10,120.16 : x
  2. Step 2: Convert to fraction form
    18,077.94/24,947.30 = 10,120.16/x
  3. Step 3: Cross multiply
    18,077.94x = 24,947.30 × 10,120.16
  4. Step 4: Simplify right side
    18,077.94x = 252,470,667.57
  5. Step 5: Solve for x
    x = 252,470,667.57/18,077.94
  6. Step 6: Final answer
    x = 13,965.68

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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.