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Finding the Fourth Proportional to 18,830, 28,208.24 and 8,955.68

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Solution

The fourth proportional to 18,830, 28,208.24 and 8,955.68 is: 13,416.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,830 : 28,208.24 = 8,955.68 : x
  2. Step 2: Convert to fraction form
    18,830/28,208.24 = 8,955.68/x
  3. Step 3: Cross multiply
    18,830x = 28,208.24 × 8,955.68
  4. Step 4: Simplify right side
    18,830x = 252,623,970.80
  5. Step 5: Solve for x
    x = 252,623,970.80/18,830
  6. Step 6: Final answer
    x = 13,416.04

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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.