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Finding the Fourth Proportional to 3,886.84, 5,829.90 and 1,289.56

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Solution

The fourth proportional to 3,886.84, 5,829.90 and 1,289.56 is: 1,934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.84 : 5,829.90 = 1,289.56 : x
  2. Step 2: Convert to fraction form
    3,886.84/5,829.90 = 1,289.56/x
  3. Step 3: Cross multiply
    3,886.84x = 5,829.90 × 1,289.56
  4. Step 4: Simplify right side
    3,886.84x = 7,518,005.84
  5. Step 5: Solve for x
    x = 7,518,005.84/3,886.84
  6. Step 6: Final answer
    x = 1,934.22

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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.