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Finding the Fourth Proportional to 47,305.40, 70,956 and 11,765.97

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Solution

The fourth proportional to 47,305.40, 70,956 and 11,765.97 is: 17,648.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,305.40 : 70,956 = 11,765.97 : x
  2. Step 2: Convert to fraction form
    47,305.40/70,956 = 11,765.97/x
  3. Step 3: Cross multiply
    47,305.40x = 70,956 × 11,765.97
  4. Step 4: Simplify right side
    47,305.40x = 834,866,167.32
  5. Step 5: Solve for x
    x = 834,866,167.32/47,305.40
  6. Step 6: Final answer
    x = 17,648.43

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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.