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Finding the Fourth Proportional to 31,268, 46,884.85 and 21,409.76

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Solution

The fourth proportional to 31,268, 46,884.85 and 21,409.76 is: 32,102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,268 : 46,884.85 = 21,409.76 : x
  2. Step 2: Convert to fraction form
    31,268/46,884.85 = 21,409.76/x
  3. Step 3: Cross multiply
    31,268x = 46,884.85 × 21,409.76
  4. Step 4: Simplify right side
    31,268x = 1,003,793,386.14
  5. Step 5: Solve for x
    x = 1,003,793,386.14/31,268
  6. Step 6: Final answer
    x = 32,102.90

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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.