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Finding the Fourth Proportional to 6,871.40, 9,482.44 and 3,727.52

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Solution

The fourth proportional to 6,871.40, 9,482.44 and 3,727.52 is: 5,143.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.40 : 9,482.44 = 3,727.52 : x
  2. Step 2: Convert to fraction form
    6,871.40/9,482.44 = 3,727.52/x
  3. Step 3: Cross multiply
    6,871.40x = 9,482.44 × 3,727.52
  4. Step 4: Simplify right side
    6,871.40x = 35,345,984.75
  5. Step 5: Solve for x
    x = 35,345,984.75/6,871.40
  6. Step 6: Final answer
    x = 5,143.93

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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.