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Finding the Fourth Proportional to 6,666.98, 9,200.16 and 3,682.71

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Solution

The fourth proportional to 6,666.98, 9,200.16 and 3,682.71 is: 5,081.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.98 : 9,200.16 = 3,682.71 : x
  2. Step 2: Convert to fraction form
    6,666.98/9,200.16 = 3,682.71/x
  3. Step 3: Cross multiply
    6,666.98x = 9,200.16 × 3,682.71
  4. Step 4: Simplify right side
    6,666.98x = 33,881,521.23
  5. Step 5: Solve for x
    x = 33,881,521.23/6,666.98
  6. Step 6: Final answer
    x = 5,081.99

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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.