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Finding the Fourth Proportional to 18,389, 25,376.26 and 10,005.48

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Solution

The fourth proportional to 18,389, 25,376.26 and 10,005.48 is: 13,807.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,389 : 25,376.26 = 10,005.48 : x
  2. Step 2: Convert to fraction form
    18,389/25,376.26 = 10,005.48/x
  3. Step 3: Cross multiply
    18,389x = 25,376.26 × 10,005.48
  4. Step 4: Simplify right side
    18,389x = 253,901,661.90
  5. Step 5: Solve for x
    x = 253,901,661.90/18,389
  6. Step 6: Final answer
    x = 13,807.26

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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.