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Finding the Fourth Proportional to 10,453.92, 15,671.64 and 7,999.68

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Solution

The fourth proportional to 10,453.92, 15,671.64 and 7,999.68 is: 11,992.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.92 : 15,671.64 = 7,999.68 : x
  2. Step 2: Convert to fraction form
    10,453.92/15,671.64 = 7,999.68/x
  3. Step 3: Cross multiply
    10,453.92x = 15,671.64 × 7,999.68
  4. Step 4: Simplify right side
    10,453.92x = 125,368,105.08
  5. Step 5: Solve for x
    x = 125,368,105.08/10,453.92
  6. Step 6: Final answer
    x = 11,992.45

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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.