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Finding the Fourth Proportional to 30,137.92, 45,200.70 and 11,411.49

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Solution

The fourth proportional to 30,137.92, 45,200.70 and 11,411.49 is: 17,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,137.92 : 45,200.70 = 11,411.49 : x
  2. Step 2: Convert to fraction form
    30,137.92/45,200.70 = 11,411.49/x
  3. Step 3: Cross multiply
    30,137.92x = 45,200.70 × 11,411.49
  4. Step 4: Simplify right side
    30,137.92x = 515,807,505.55
  5. Step 5: Solve for x
    x = 515,807,505.55/30,137.92
  6. Step 6: Final answer
    x = 17,114.90

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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.