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Finding the Fourth Proportional to 6,871.77, 9,483.04 and 3,887.54

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Solution

The fourth proportional to 6,871.77, 9,483.04 and 3,887.54 is: 5,364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.77 : 9,483.04 = 3,887.54 : x
  2. Step 2: Convert to fraction form
    6,871.77/9,483.04 = 3,887.54/x
  3. Step 3: Cross multiply
    6,871.77x = 9,483.04 × 3,887.54
  4. Step 4: Simplify right side
    6,871.77x = 36,865,690.33
  5. Step 5: Solve for x
    x = 36,865,690.33/6,871.77
  6. Step 6: Final answer
    x = 5,364.80

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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.