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Finding the Fourth Proportional to 47,012.30, 70,518.90 and 11,951.96

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Solution

The fourth proportional to 47,012.30, 70,518.90 and 11,951.96 is: 17,928.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,012.30 : 70,518.90 = 11,951.96 : x
  2. Step 2: Convert to fraction form
    47,012.30/70,518.90 = 11,951.96/x
  3. Step 3: Cross multiply
    47,012.30x = 70,518.90 × 11,951.96
  4. Step 4: Simplify right side
    47,012.30x = 842,838,764.27
  5. Step 5: Solve for x
    x = 842,838,764.27/47,012.30
  6. Step 6: Final answer
    x = 17,928.05

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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.