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Finding the Fourth Proportional to 3,886.60, 5,829.90 and 3,465.40

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Solution

The fourth proportional to 3,886.60, 5,829.90 and 3,465.40 is: 5,198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.60 : 5,829.90 = 3,465.40 : x
  2. Step 2: Convert to fraction form
    3,886.60/5,829.90 = 3,465.40/x
  3. Step 3: Cross multiply
    3,886.60x = 5,829.90 × 3,465.40
  4. Step 4: Simplify right side
    3,886.60x = 20,202,935.46
  5. Step 5: Solve for x
    x = 20,202,935.46/3,886.60
  6. Step 6: Final answer
    x = 5,198.10

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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.