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Finding the Fourth Proportional to 17,985.70, 26,978.55 and 10,080.10

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Solution

The fourth proportional to 17,985.70, 26,978.55 and 10,080.10 is: 15,120.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,985.70 : 26,978.55 = 10,080.10 : x
  2. Step 2: Convert to fraction form
    17,985.70/26,978.55 = 10,080.10/x
  3. Step 3: Cross multiply
    17,985.70x = 26,978.55 × 10,080.10
  4. Step 4: Simplify right side
    17,985.70x = 271,946,481.86
  5. Step 5: Solve for x
    x = 271,946,481.86/17,985.70
  6. Step 6: Final answer
    x = 15,120.15

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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.