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Finding the Fourth Proportional to 31,289.92, 46,939.44 and 9,100.42

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Solution

The fourth proportional to 31,289.92, 46,939.44 and 9,100.42 is: 13,651.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,289.92 : 46,939.44 = 9,100.42 : x
  2. Step 2: Convert to fraction form
    31,289.92/46,939.44 = 9,100.42/x
  3. Step 3: Cross multiply
    31,289.92x = 46,939.44 × 9,100.42
  4. Step 4: Simplify right side
    31,289.92x = 427,168,618.56
  5. Step 5: Solve for x
    x = 427,168,618.56/31,289.92
  6. Step 6: Final answer
    x = 13,651.96

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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.