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Finding the Fourth Proportional to 18,770, 25,902.78 and 10,386.68

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Solution

The fourth proportional to 18,770, 25,902.78 and 10,386.68 is: 14,333.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,770 : 25,902.78 = 10,386.68 : x
  2. Step 2: Convert to fraction form
    18,770/25,902.78 = 10,386.68/x
  3. Step 3: Cross multiply
    18,770x = 25,902.78 × 10,386.68
  4. Step 4: Simplify right side
    18,770x = 269,043,886.97
  5. Step 5: Solve for x
    x = 269,043,886.97/18,770
  6. Step 6: Final answer
    x = 14,333.72

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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.