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Finding the Fourth Proportional to 30,868.47, 46,302.30 and 8,680.68

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Solution

The fourth proportional to 30,868.47, 46,302.30 and 8,680.68 is: 13,020.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,868.47 : 46,302.30 = 8,680.68 : x
  2. Step 2: Convert to fraction form
    30,868.47/46,302.30 = 8,680.68/x
  3. Step 3: Cross multiply
    30,868.47x = 46,302.30 × 8,680.68
  4. Step 4: Simplify right side
    30,868.47x = 401,935,449.56
  5. Step 5: Solve for x
    x = 401,935,449.56/30,868.47
  6. Step 6: Final answer
    x = 13,020.91

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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.