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Finding the Fourth Proportional to 16,901, 25,354.86 and 5,213.72

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Solution

The fourth proportional to 16,901, 25,354.86 and 5,213.72 is: 7,821.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,901 : 25,354.86 = 5,213.72 : x
  2. Step 2: Convert to fraction form
    16,901/25,354.86 = 5,213.72/x
  3. Step 3: Cross multiply
    16,901x = 25,354.86 × 5,213.72
  4. Step 4: Simplify right side
    16,901x = 132,193,140.68
  5. Step 5: Solve for x
    x = 132,193,140.68/16,901
  6. Step 6: Final answer
    x = 7,821.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.