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Finding the Fourth Proportional to 30,654, 45,992.06 and 15,082.56

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Solution

The fourth proportional to 30,654, 45,992.06 and 15,082.56 is: 22,629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,654 : 45,992.06 = 15,082.56 : x
  2. Step 2: Convert to fraction form
    30,654/45,992.06 = 15,082.56/x
  3. Step 3: Cross multiply
    30,654x = 45,992.06 × 15,082.56
  4. Step 4: Simplify right side
    30,654x = 693,678,004.47
  5. Step 5: Solve for x
    x = 693,678,004.47/30,654
  6. Step 6: Final answer
    x = 22,629.28

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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.