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Finding the Fourth Proportional to 31,992.71, 47,995.88 and 12,271.10

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Solution

The fourth proportional to 31,992.71, 47,995.88 and 12,271.10 is: 18,409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,992.71 : 47,995.88 = 12,271.10 : x
  2. Step 2: Convert to fraction form
    31,992.71/47,995.88 = 12,271.10/x
  3. Step 3: Cross multiply
    31,992.71x = 47,995.88 × 12,271.10
  4. Step 4: Simplify right side
    31,992.71x = 588,961,941.73
  5. Step 5: Solve for x
    x = 588,961,941.73/31,992.71
  6. Step 6: Final answer
    x = 18,409.26

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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.