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Finding the Fourth Proportional to 31,205.80, 46,808.70 and 28,775.80

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Solution

The fourth proportional to 31,205.80, 46,808.70 and 28,775.80 is: 43,163.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,205.80 : 46,808.70 = 28,775.80 : x
  2. Step 2: Convert to fraction form
    31,205.80/46,808.70 = 28,775.80/x
  3. Step 3: Cross multiply
    31,205.80x = 46,808.70 × 28,775.80
  4. Step 4: Simplify right side
    31,205.80x = 1,346,957,789.46
  5. Step 5: Solve for x
    x = 1,346,957,789.46/31,205.80
  6. Step 6: Final answer
    x = 43,163.70

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1.5x scale

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.