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Finding the Fourth Proportional to 6,658.63, 9,186.10 and 4,421.71

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Solution

The fourth proportional to 6,658.63, 9,186.10 and 4,421.71 is: 6,100.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.63 : 9,186.10 = 4,421.71 : x
  2. Step 2: Convert to fraction form
    6,658.63/9,186.10 = 4,421.71/x
  3. Step 3: Cross multiply
    6,658.63x = 9,186.10 × 4,421.71
  4. Step 4: Simplify right side
    6,658.63x = 40,618,270.23
  5. Step 5: Solve for x
    x = 40,618,270.23/6,658.63
  6. Step 6: Final answer
    x = 6,100.09

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