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Finding the Fourth Proportional to 3,859.40, 5,325.72 and 2,462

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Solution

The fourth proportional to 3,859.40, 5,325.72 and 2,462 is: 3,397.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.40 : 5,325.72 = 2,462 : x
  2. Step 2: Convert to fraction form
    3,859.40/5,325.72 = 2,462/x
  3. Step 3: Cross multiply
    3,859.40x = 5,325.72 × 2,462
  4. Step 4: Simplify right side
    3,859.40x = 13,111,922.64
  5. Step 5: Solve for x
    x = 13,111,922.64/3,859.40
  6. Step 6: Final answer
    x = 3,397.40

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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.