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Finding the Fourth Proportional to 3,886.29, 5,829.53 and 1,113.21

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Solution

The fourth proportional to 3,886.29, 5,829.53 and 1,113.21 is: 1,669.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.29 : 5,829.53 = 1,113.21 : x
  2. Step 2: Convert to fraction form
    3,886.29/5,829.53 = 1,113.21/x
  3. Step 3: Cross multiply
    3,886.29x = 5,829.53 × 1,113.21
  4. Step 4: Simplify right side
    3,886.29x = 6,489,485.53
  5. Step 5: Solve for x
    x = 6,489,485.53/3,886.29
  6. Step 6: Final answer
    x = 1,669.84

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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.