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Finding the Fourth Proportional to 30,135.80, 45,206.84 and 10,411.82

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Solution

The fourth proportional to 30,135.80, 45,206.84 and 10,411.82 is: 15,618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,135.80 : 45,206.84 = 10,411.82 : x
  2. Step 2: Convert to fraction form
    30,135.80/45,206.84 = 10,411.82/x
  3. Step 3: Cross multiply
    30,135.80x = 45,206.84 × 10,411.82
  4. Step 4: Simplify right side
    30,135.80x = 470,685,480.85
  5. Step 5: Solve for x
    x = 470,685,480.85/30,135.80
  6. Step 6: Final answer
    x = 15,618.81

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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.