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Finding the Fourth Proportional to 4,086, 5,639.16 and 2,430

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Solution

The fourth proportional to 4,086, 5,639.16 and 2,430 is: 3,353.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086 : 5,639.16 = 2,430 : x
  2. Step 2: Convert to fraction form
    4,086/5,639.16 = 2,430/x
  3. Step 3: Cross multiply
    4,086x = 5,639.16 × 2,430
  4. Step 4: Simplify right side
    4,086x = 13,703,158.80
  5. Step 5: Solve for x
    x = 13,703,158.80/4,086
  6. Step 6: Final answer
    x = 3,353.69

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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.