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Finding the Fourth Proportional to 6,142.71, 9,214.05 and 1,760.19

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Solution

The fourth proportional to 6,142.71, 9,214.05 and 1,760.19 is: 2,640.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.71 : 9,214.05 = 1,760.19 : x
  2. Step 2: Convert to fraction form
    6,142.71/9,214.05 = 1,760.19/x
  3. Step 3: Cross multiply
    6,142.71x = 9,214.05 × 1,760.19
  4. Step 4: Simplify right side
    6,142.71x = 16,218,478.67
  5. Step 5: Solve for x
    x = 16,218,478.67/6,142.71
  6. Step 6: Final answer
    x = 2,640.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.