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Finding the Fourth Proportional to 30,658, 45,998.10 and 15,086.56

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Solution

The fourth proportional to 30,658, 45,998.10 and 15,086.56 is: 22,635.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,658 : 45,998.10 = 15,086.56 : x
  2. Step 2: Convert to fraction form
    30,658/45,998.10 = 15,086.56/x
  3. Step 3: Cross multiply
    30,658x = 45,998.10 × 15,086.56
  4. Step 4: Simplify right side
    30,658x = 693,953,095.54
  5. Step 5: Solve for x
    x = 693,953,095.54/30,658
  6. Step 6: Final answer
    x = 22,635.30

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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.