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Finding the Fourth Proportional to 6,665, 9,198.51 and 3,870.50

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Solution

The fourth proportional to 6,665, 9,198.51 and 3,870.50 is: 5,341.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665 : 9,198.51 = 3,870.50 : x
  2. Step 2: Convert to fraction form
    6,665/9,198.51 = 3,870.50/x
  3. Step 3: Cross multiply
    6,665x = 9,198.51 × 3,870.50
  4. Step 4: Simplify right side
    6,665x = 35,602,832.96
  5. Step 5: Solve for x
    x = 35,602,832.96/6,665
  6. Step 6: Final answer
    x = 5,341.76

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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.