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Finding the Fourth Proportional to 38,780, 58,172.16 and 11,080.16

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Solution

The fourth proportional to 38,780, 58,172.16 and 11,080.16 is: 16,620.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,780 : 58,172.16 = 11,080.16 : x
  2. Step 2: Convert to fraction form
    38,780/58,172.16 = 11,080.16/x
  3. Step 3: Cross multiply
    38,780x = 58,172.16 × 11,080.16
  4. Step 4: Simplify right side
    38,780x = 644,556,840.35
  5. Step 5: Solve for x
    x = 644,556,840.35/38,780
  6. Step 6: Final answer
    x = 16,620.86

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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.