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Finding the Fourth Proportional to 31,967.36, 47,949.30 and 9,780.73

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Solution

The fourth proportional to 31,967.36, 47,949.30 and 9,780.73 is: 14,670.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,967.36 : 47,949.30 = 9,780.73 : x
  2. Step 2: Convert to fraction form
    31,967.36/47,949.30 = 9,780.73/x
  3. Step 3: Cross multiply
    31,967.36x = 47,949.30 × 9,780.73
  4. Step 4: Simplify right side
    31,967.36x = 468,979,037.12
  5. Step 5: Solve for x
    x = 468,979,037.12/31,967.36
  6. Step 6: Final answer
    x = 14,670.56

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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.