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Finding the Fourth Proportional to 3,973.38, 5,463.81 and 3,448.50

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Solution

The fourth proportional to 3,973.38, 5,463.81 and 3,448.50 is: 4,742.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.38 : 5,463.81 = 3,448.50 : x
  2. Step 2: Convert to fraction form
    3,973.38/5,463.81 = 3,448.50/x
  3. Step 3: Cross multiply
    3,973.38x = 5,463.81 × 3,448.50
  4. Step 4: Simplify right side
    3,973.38x = 18,841,948.79
  5. Step 5: Solve for x
    x = 18,841,948.79/3,973.38
  6. Step 6: Final answer
    x = 4,742.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.