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Finding the Fourth Proportional to 3,969.39, 5,954.69 and 1,047.93

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Solution

The fourth proportional to 3,969.39, 5,954.69 and 1,047.93 is: 1,572.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.39 : 5,954.69 = 1,047.93 : x
  2. Step 2: Convert to fraction form
    3,969.39/5,954.69 = 1,047.93/x
  3. Step 3: Cross multiply
    3,969.39x = 5,954.69 × 1,047.93
  4. Step 4: Simplify right side
    3,969.39x = 6,240,098.29
  5. Step 5: Solve for x
    x = 6,240,098.29/3,969.39
  6. Step 6: Final answer
    x = 1,572.05

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Why These Related Problems?

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