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Finding the Fourth Proportional to 30,951.92, 46,411.32 and 12,231.20

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Solution

The fourth proportional to 30,951.92, 46,411.32 and 12,231.20 is: 18,340.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,951.92 : 46,411.32 = 12,231.20 : x
  2. Step 2: Convert to fraction form
    30,951.92/46,411.32 = 12,231.20/x
  3. Step 3: Cross multiply
    30,951.92x = 46,411.32 × 12,231.20
  4. Step 4: Simplify right side
    30,951.92x = 567,666,137.18
  5. Step 5: Solve for x
    x = 567,666,137.18/30,951.92
  6. Step 6: Final answer
    x = 18,340.26

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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.