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Finding the Fourth Proportional to 10,658.63, 15,989.41 and 3,636.76

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Solution

The fourth proportional to 10,658.63, 15,989.41 and 3,636.76 is: 5,455.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.63 : 15,989.41 = 3,636.76 : x
  2. Step 2: Convert to fraction form
    10,658.63/15,989.41 = 3,636.76/x
  3. Step 3: Cross multiply
    10,658.63x = 15,989.41 × 3,636.76
  4. Step 4: Simplify right side
    10,658.63x = 58,149,597.65
  5. Step 5: Solve for x
    x = 58,149,597.65/10,658.63
  6. Step 6: Final answer
    x = 5,455.63

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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.