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Finding the Fourth Proportional to 2,632.47, 3,949.38 and 783.59

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Solution

The fourth proportional to 2,632.47, 3,949.38 and 783.59 is: 1,175.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.47 : 3,949.38 = 783.59 : x
  2. Step 2: Convert to fraction form
    2,632.47/3,949.38 = 783.59/x
  3. Step 3: Cross multiply
    2,632.47x = 3,949.38 × 783.59
  4. Step 4: Simplify right side
    2,632.47x = 3,094,674.93
  5. Step 5: Solve for x
    x = 3,094,674.93/2,632.47
  6. Step 6: Final answer
    x = 1,175.58

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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.