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Finding the Fourth Proportional to 31,200.80, 46,801.80 and 7,826.63

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Solution

The fourth proportional to 31,200.80, 46,801.80 and 7,826.63 is: 11,740.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,200.80 : 46,801.80 = 7,826.63 : x
  2. Step 2: Convert to fraction form
    31,200.80/46,801.80 = 7,826.63/x
  3. Step 3: Cross multiply
    31,200.80x = 46,801.80 × 7,826.63
  4. Step 4: Simplify right side
    31,200.80x = 366,300,137.93
  5. Step 5: Solve for x
    x = 366,300,137.93/31,200.80
  6. Step 6: Final answer
    x = 11,740.09

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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.