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Finding the Fourth Proportional to 15,200.34, 20,978.37 and 9,230.44

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Solution

The fourth proportional to 15,200.34, 20,978.37 and 9,230.44 is: 12,739.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.34 : 20,978.37 = 9,230.44 : x
  2. Step 2: Convert to fraction form
    15,200.34/20,978.37 = 9,230.44/x
  3. Step 3: Cross multiply
    15,200.34x = 20,978.37 × 9,230.44
  4. Step 4: Simplify right side
    15,200.34x = 193,639,546.51
  5. Step 5: Solve for x
    x = 193,639,546.51/15,200.34
  6. Step 6: Final answer
    x = 12,739.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.