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Finding the Fourth Proportional to 20,130, 30,165.82 and 11,346.22

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Solution

The fourth proportional to 20,130, 30,165.82 and 11,346.22 is: 17,002.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,130 : 30,165.82 = 11,346.22 : x
  2. Step 2: Convert to fraction form
    20,130/30,165.82 = 11,346.22/x
  3. Step 3: Cross multiply
    20,130x = 30,165.82 × 11,346.22
  4. Step 4: Simplify right side
    20,130x = 342,268,030.20
  5. Step 5: Solve for x
    x = 342,268,030.20/20,130
  6. Step 6: Final answer
    x = 17,002.88

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1.5x scale

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.