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Finding the Fourth Proportional to 18,392.50, 25,381.74 and 10,009

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Solution

The fourth proportional to 18,392.50, 25,381.74 and 10,009 is: 13,812.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,392.50 : 25,381.74 = 10,009 : x
  2. Step 2: Convert to fraction form
    18,392.50/25,381.74 = 10,009/x
  3. Step 3: Cross multiply
    18,392.50x = 25,381.74 × 10,009
  4. Step 4: Simplify right side
    18,392.50x = 254,045,835.66
  5. Step 5: Solve for x
    x = 254,045,835.66/18,392.50
  6. Step 6: Final answer
    x = 13,812.47

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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.