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Finding the Fourth Proportional to 31,999.70, 47,999.55 and 21,977.30

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Solution

The fourth proportional to 31,999.70, 47,999.55 and 21,977.30 is: 32,965.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,999.70 : 47,999.55 = 21,977.30 : x
  2. Step 2: Convert to fraction form
    31,999.70/47,999.55 = 21,977.30/x
  3. Step 3: Cross multiply
    31,999.70x = 47,999.55 × 21,977.30
  4. Step 4: Simplify right side
    31,999.70x = 1,054,900,510.22
  5. Step 5: Solve for x
    x = 1,054,900,510.22/31,999.70
  6. Step 6: Final answer
    x = 32,965.95

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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.