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Finding the Fourth Proportional to 18,123, 25,009.68 and 10,165.20

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Solution

The fourth proportional to 18,123, 25,009.68 and 10,165.20 is: 14,027.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,123 : 25,009.68 = 10,165.20 : x
  2. Step 2: Convert to fraction form
    18,123/25,009.68 = 10,165.20/x
  3. Step 3: Cross multiply
    18,123x = 25,009.68 × 10,165.20
  4. Step 4: Simplify right side
    18,123x = 254,228,399.14
  5. Step 5: Solve for x
    x = 254,228,399.14/18,123
  6. Step 6: Final answer
    x = 14,027.94

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1.5x scale

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.