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Finding the Fourth Proportional to 18,909, 26,100.90 and 11,457

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Solution

The fourth proportional to 18,909, 26,100.90 and 11,457 is: 15,814.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,909 : 26,100.90 = 11,457 : x
  2. Step 2: Convert to fraction form
    18,909/26,100.90 = 11,457/x
  3. Step 3: Cross multiply
    18,909x = 26,100.90 × 11,457
  4. Step 4: Simplify right side
    18,909x = 299,038,011.30
  5. Step 5: Solve for x
    x = 299,038,011.30/18,909
  6. Step 6: Final answer
    x = 15,814.59

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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.