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Finding the Fourth Proportional to 31,209.20, 46,813.80 and 13,713.20

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Solution

The fourth proportional to 31,209.20, 46,813.80 and 13,713.20 is: 20,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,209.20 : 46,813.80 = 13,713.20 : x
  2. Step 2: Convert to fraction form
    31,209.20/46,813.80 = 13,713.20/x
  3. Step 3: Cross multiply
    31,209.20x = 46,813.80 × 13,713.20
  4. Step 4: Simplify right side
    31,209.20x = 641,967,002.16
  5. Step 5: Solve for x
    x = 641,967,002.16/31,209.20
  6. Step 6: Final answer
    x = 20,569.80

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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.