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Finding the Fourth Proportional to 47,067, 70,607.10 and 13,789.44

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Solution

The fourth proportional to 47,067, 70,607.10 and 13,789.44 is: 20,686.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,067 : 70,607.10 = 13,789.44 : x
  2. Step 2: Convert to fraction form
    47,067/70,607.10 = 13,789.44/x
  3. Step 3: Cross multiply
    47,067x = 70,607.10 × 13,789.44
  4. Step 4: Simplify right side
    47,067x = 973,632,369.02
  5. Step 5: Solve for x
    x = 973,632,369.02/47,067
  6. Step 6: Final answer
    x = 20,686.09

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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.