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Finding the Fourth Proportional to 30,950.47, 46,393.92 and 12,222.91

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Solution

The fourth proportional to 30,950.47, 46,393.92 and 12,222.91 is: 18,321.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,950.47 : 46,393.92 = 12,222.91 : x
  2. Step 2: Convert to fraction form
    30,950.47/46,393.92 = 12,222.91/x
  3. Step 3: Cross multiply
    30,950.47x = 46,393.92 × 12,222.91
  4. Step 4: Simplify right side
    30,950.47x = 567,068,708.71
  5. Step 5: Solve for x
    x = 567,068,708.71/30,950.47
  6. Step 6: Final answer
    x = 18,321.81

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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.