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Finding the Fourth Proportional to 30,137.96, 45,198.30 and 10,411.40

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Solution

The fourth proportional to 30,137.96, 45,198.30 and 10,411.40 is: 15,614.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,137.96 : 45,198.30 = 10,411.40 : x
  2. Step 2: Convert to fraction form
    30,137.96/45,198.30 = 10,411.40/x
  3. Step 3: Cross multiply
    30,137.96x = 45,198.30 × 10,411.40
  4. Step 4: Simplify right side
    30,137.96x = 470,577,580.62
  5. Step 5: Solve for x
    x = 470,577,580.62/30,137.96
  6. Step 6: Final answer
    x = 15,614.12

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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.