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Finding the Fourth Proportional to 31,178.64, 46,739.64 and 12,454.68

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Solution

The fourth proportional to 31,178.64, 46,739.64 and 12,454.68 is: 18,670.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,178.64 : 46,739.64 = 12,454.68 : x
  2. Step 2: Convert to fraction form
    31,178.64/46,739.64 = 12,454.68/x
  3. Step 3: Cross multiply
    31,178.64x = 46,739.64 × 12,454.68
  4. Step 4: Simplify right side
    31,178.64x = 582,127,259.52
  5. Step 5: Solve for x
    x = 582,127,259.52/31,178.64
  6. Step 6: Final answer
    x = 18,670.71

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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.