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Finding the Fourth Proportional to 3,966.13, 5,947.12 and 1,368.47

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Solution

The fourth proportional to 3,966.13, 5,947.12 and 1,368.47 is: 2,051.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.13 : 5,947.12 = 1,368.47 : x
  2. Step 2: Convert to fraction form
    3,966.13/5,947.12 = 1,368.47/x
  3. Step 3: Cross multiply
    3,966.13x = 5,947.12 × 1,368.47
  4. Step 4: Simplify right side
    3,966.13x = 8,138,448.46
  5. Step 5: Solve for x
    x = 8,138,448.46/3,966.13
  6. Step 6: Final answer
    x = 2,051.99

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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.