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Finding the Fourth Proportional to 14,980.42, 22,475.43 and 7,189.78

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Solution

The fourth proportional to 14,980.42, 22,475.43 and 7,189.78 is: 10,786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,980.42 : 22,475.43 = 7,189.78 : x
  2. Step 2: Convert to fraction form
    14,980.42/22,475.43 = 7,189.78/x
  3. Step 3: Cross multiply
    14,980.42x = 22,475.43 × 7,189.78
  4. Step 4: Simplify right side
    14,980.42x = 161,593,397.11
  5. Step 5: Solve for x
    x = 161,593,397.11/14,980.42
  6. Step 6: Final answer
    x = 10,786.97

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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.