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Finding the Fourth Proportional to 18,392.75, 25,382 and 10,009.25

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Solution

The fourth proportional to 18,392.75, 25,382 and 10,009.25 is: 13,812.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,392.75 : 25,382 = 10,009.25 : x
  2. Step 2: Convert to fraction form
    18,392.75/25,382 = 10,009.25/x
  3. Step 3: Cross multiply
    18,392.75x = 25,382 × 10,009.25
  4. Step 4: Simplify right side
    18,392.75x = 254,054,783.50
  5. Step 5: Solve for x
    x = 254,054,783.50/18,392.75
  6. Step 6: Final answer
    x = 13,812.77

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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.