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Finding the Fourth Proportional to 31,700.22, 43,743.22 and 18,950.86

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Solution

The fourth proportional to 31,700.22, 43,743.22 and 18,950.86 is: 26,150.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,700.22 : 43,743.22 = 18,950.86 : x
  2. Step 2: Convert to fraction form
    31,700.22/43,743.22 = 18,950.86/x
  3. Step 3: Cross multiply
    31,700.22x = 43,743.22 × 18,950.86
  4. Step 4: Simplify right side
    31,700.22x = 828,971,638.17
  5. Step 5: Solve for x
    x = 828,971,638.17/31,700.22
  6. Step 6: Final answer
    x = 26,150.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.