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Finding the Fourth Proportional to 18,757, 28,092.42 and 9,368.20

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Solution

The fourth proportional to 18,757, 28,092.42 and 9,368.20 is: 14,030.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,757 : 28,092.42 = 9,368.20 : x
  2. Step 2: Convert to fraction form
    18,757/28,092.42 = 9,368.20/x
  3. Step 3: Cross multiply
    18,757x = 28,092.42 × 9,368.20
  4. Step 4: Simplify right side
    18,757x = 263,175,409.04
  5. Step 5: Solve for x
    x = 263,175,409.04/18,757
  6. Step 6: Final answer
    x = 14,030.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.