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Finding the Fourth Proportional to 18,172, 25,077.90 and 10,720

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Solution

The fourth proportional to 18,172, 25,077.90 and 10,720 is: 14,793.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,172 : 25,077.90 = 10,720 : x
  2. Step 2: Convert to fraction form
    18,172/25,077.90 = 10,720/x
  3. Step 3: Cross multiply
    18,172x = 25,077.90 × 10,720
  4. Step 4: Simplify right side
    18,172x = 268,835,088
  5. Step 5: Solve for x
    x = 268,835,088/18,172
  6. Step 6: Final answer
    x = 14,793.92

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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.