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Finding the Fourth Proportional to 31,786.95, 47,680.80 and 9,600.51

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Solution

The fourth proportional to 31,786.95, 47,680.80 and 9,600.51 is: 14,400.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,786.95 : 47,680.80 = 9,600.51 : x
  2. Step 2: Convert to fraction form
    31,786.95/47,680.80 = 9,600.51/x
  3. Step 3: Cross multiply
    31,786.95x = 47,680.80 × 9,600.51
  4. Step 4: Simplify right side
    31,786.95x = 457,759,997.21
  5. Step 5: Solve for x
    x = 457,759,997.21/31,786.95
  6. Step 6: Final answer
    x = 14,400.88

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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.