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Finding the Fourth Proportional to 18,390, 25,377.64 and 10,006.48

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Solution

The fourth proportional to 18,390, 25,377.64 and 10,006.48 is: 13,808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,390 : 25,377.64 = 10,006.48 : x
  2. Step 2: Convert to fraction form
    18,390/25,377.64 = 10,006.48/x
  3. Step 3: Cross multiply
    18,390x = 25,377.64 × 10,006.48
  4. Step 4: Simplify right side
    18,390x = 253,940,847.11
  5. Step 5: Solve for x
    x = 253,940,847.11/18,390
  6. Step 6: Final answer
    x = 13,808.64

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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.