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Finding the Fourth Proportional to 3,886.17, 5,829.27 and 1,288.50

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Solution

The fourth proportional to 3,886.17, 5,829.27 and 1,288.50 is: 1,932.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.17 : 5,829.27 = 1,288.50 : x
  2. Step 2: Convert to fraction form
    3,886.17/5,829.27 = 1,288.50/x
  3. Step 3: Cross multiply
    3,886.17x = 5,829.27 × 1,288.50
  4. Step 4: Simplify right side
    3,886.17x = 7,511,014.40
  5. Step 5: Solve for x
    x = 7,511,014.40/3,886.17
  6. Step 6: Final answer
    x = 1,932.75

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1.5x scale

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.