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Finding the Fourth Proportional to 26,208, 36,167.85 and 15,030

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Solution

The fourth proportional to 26,208, 36,167.85 and 15,030 is: 20,741.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,208 : 36,167.85 = 15,030 : x
  2. Step 2: Convert to fraction form
    26,208/36,167.85 = 15,030/x
  3. Step 3: Cross multiply
    26,208x = 36,167.85 × 15,030
  4. Step 4: Simplify right side
    26,208x = 543,602,785.50
  5. Step 5: Solve for x
    x = 543,602,785.50/26,208
  6. Step 6: Final answer
    x = 20,741.86

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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.