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Finding the Fourth Proportional to 6,642.46, 9,166.86 and 3,658.58

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Solution

The fourth proportional to 6,642.46, 9,166.86 and 3,658.58 is: 5,048.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.46 : 9,166.86 = 3,658.58 : x
  2. Step 2: Convert to fraction form
    6,642.46/9,166.86 = 3,658.58/x
  3. Step 3: Cross multiply
    6,642.46x = 9,166.86 × 3,658.58
  4. Step 4: Simplify right side
    6,642.46x = 33,537,644.82
  5. Step 5: Solve for x
    x = 33,537,644.82/6,642.46
  6. Step 6: Final answer
    x = 5,048.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.