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Finding the Fourth Proportional to 2,632.97, 3,949.38 and 784.10

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Solution

The fourth proportional to 2,632.97, 3,949.38 and 784.10 is: 1,176.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.97 : 3,949.38 = 784.10 : x
  2. Step 2: Convert to fraction form
    2,632.97/3,949.38 = 784.10/x
  3. Step 3: Cross multiply
    2,632.97x = 3,949.38 × 784.10
  4. Step 4: Simplify right side
    2,632.97x = 3,096,689.11
  5. Step 5: Solve for x
    x = 3,096,689.11/2,632.97
  6. Step 6: Final answer
    x = 1,176.12

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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.