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Finding the Fourth Proportional to 30,838.80, 46,279.80 and 13,321.20

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Solution

The fourth proportional to 30,838.80, 46,279.80 and 13,321.20 is: 19,991.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,838.80 : 46,279.80 = 13,321.20 : x
  2. Step 2: Convert to fraction form
    30,838.80/46,279.80 = 13,321.20/x
  3. Step 3: Cross multiply
    30,838.80x = 46,279.80 × 13,321.20
  4. Step 4: Simplify right side
    30,838.80x = 616,502,471.76
  5. Step 5: Solve for x
    x = 616,502,471.76/30,838.80
  6. Step 6: Final answer
    x = 19,991.13

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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.