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Finding the Fourth Proportional to 31,991.80, 47,987.70 and 11,215.30

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Solution

The fourth proportional to 31,991.80, 47,987.70 and 11,215.30 is: 16,822.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,991.80 : 47,987.70 = 11,215.30 : x
  2. Step 2: Convert to fraction form
    31,991.80/47,987.70 = 11,215.30/x
  3. Step 3: Cross multiply
    31,991.80x = 47,987.70 × 11,215.30
  4. Step 4: Simplify right side
    31,991.80x = 538,196,451.81
  5. Step 5: Solve for x
    x = 538,196,451.81/31,991.80
  6. Step 6: Final answer
    x = 16,822.95

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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.