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Finding the Fourth Proportional to 30,596.80, 45,896.33 and 8,411.91

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Solution

The fourth proportional to 30,596.80, 45,896.33 and 8,411.91 is: 12,618.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,596.80 : 45,896.33 = 8,411.91 : x
  2. Step 2: Convert to fraction form
    30,596.80/45,896.33 = 8,411.91/x
  3. Step 3: Cross multiply
    30,596.80x = 45,896.33 × 8,411.91
  4. Step 4: Simplify right side
    30,596.80x = 386,075,797.29
  5. Step 5: Solve for x
    x = 386,075,797.29/30,596.80
  6. Step 6: Final answer
    x = 12,618.18

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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.