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Finding the Fourth Proportional to 18,176, 25,082.64 and 10,109.60

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Solution

The fourth proportional to 18,176, 25,082.64 and 10,109.60 is: 13,951.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,176 : 25,082.64 = 10,109.60 : x
  2. Step 2: Convert to fraction form
    18,176/25,082.64 = 10,109.60/x
  3. Step 3: Cross multiply
    18,176x = 25,082.64 × 10,109.60
  4. Step 4: Simplify right side
    18,176x = 253,575,457.34
  5. Step 5: Solve for x
    x = 253,575,457.34/18,176
  6. Step 6: Final answer
    x = 13,951.11

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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.