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Finding the Fourth Proportional to 31,236.50, 46,854.80 and 12,768.50

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Solution

The fourth proportional to 31,236.50, 46,854.80 and 12,768.50 is: 19,152.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,236.50 : 46,854.80 = 12,768.50 : x
  2. Step 2: Convert to fraction form
    31,236.50/46,854.80 = 12,768.50/x
  3. Step 3: Cross multiply
    31,236.50x = 46,854.80 × 12,768.50
  4. Step 4: Simplify right side
    31,236.50x = 598,265,449.96
  5. Step 5: Solve for x
    x = 598,265,449.96/31,236.50
  6. Step 6: Final answer
    x = 19,152.77

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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.