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Finding the Fourth Proportional to 31,245, 46,867.56 and 12,777

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Solution

The fourth proportional to 31,245, 46,867.56 and 12,777 is: 19,165.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,245 : 46,867.56 = 12,777 : x
  2. Step 2: Convert to fraction form
    31,245/46,867.56 = 12,777/x
  3. Step 3: Cross multiply
    31,245x = 46,867.56 × 12,777
  4. Step 4: Simplify right side
    31,245x = 598,826,814.12
  5. Step 5: Solve for x
    x = 598,826,814.12/31,245
  6. Step 6: Final answer
    x = 19,165.52

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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.