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Finding the Fourth Proportional to 31,196.80, 46,795.20 and 12,485.80

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Solution

The fourth proportional to 31,196.80, 46,795.20 and 12,485.80 is: 18,728.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,196.80 : 46,795.20 = 12,485.80 : x
  2. Step 2: Convert to fraction form
    31,196.80/46,795.20 = 12,485.80/x
  3. Step 3: Cross multiply
    31,196.80x = 46,795.20 × 12,485.80
  4. Step 4: Simplify right side
    31,196.80x = 584,275,508.16
  5. Step 5: Solve for x
    x = 584,275,508.16/31,196.80
  6. Step 6: Final answer
    x = 18,728.70

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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.