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Finding the Fourth Proportional to 30,292.82, 45,436 and 10,571.76

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Solution

The fourth proportional to 30,292.82, 45,436 and 10,571.76 is: 15,856.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,292.82 : 45,436 = 10,571.76 : x
  2. Step 2: Convert to fraction form
    30,292.82/45,436 = 10,571.76/x
  3. Step 3: Cross multiply
    30,292.82x = 45,436 × 10,571.76
  4. Step 4: Simplify right side
    30,292.82x = 480,338,487.36
  5. Step 5: Solve for x
    x = 480,338,487.36/30,292.82
  6. Step 6: Final answer
    x = 15,856.51

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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.