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Finding the Fourth Proportional to 47,057, 70,583.47 and 11,995.61

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Solution

The fourth proportional to 47,057, 70,583.47 and 11,995.61 is: 17,992.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,057 : 70,583.47 = 11,995.61 : x
  2. Step 2: Convert to fraction form
    47,057/70,583.47 = 11,995.61/x
  3. Step 3: Cross multiply
    47,057x = 70,583.47 × 11,995.61
  4. Step 4: Simplify right side
    47,057x = 846,691,778.57
  5. Step 5: Solve for x
    x = 846,691,778.57/47,057
  6. Step 6: Final answer
    x = 17,992.90

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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.