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Finding the Fourth Proportional to 31,180.68, 46,750.68 and 12,449.16

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Solution

The fourth proportional to 31,180.68, 46,750.68 and 12,449.16 is: 18,665.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,180.68 : 46,750.68 = 12,449.16 : x
  2. Step 2: Convert to fraction form
    31,180.68/46,750.68 = 12,449.16/x
  3. Step 3: Cross multiply
    31,180.68x = 46,750.68 × 12,449.16
  4. Step 4: Simplify right side
    31,180.68x = 582,006,695.43
  5. Step 5: Solve for x
    x = 582,006,695.43/31,180.68
  6. Step 6: Final answer
    x = 18,665.62

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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.