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Finding the Fourth Proportional to 12,639.16, 18,956.58 and 3,403

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Solution

The fourth proportional to 12,639.16, 18,956.58 and 3,403 is: 5,103.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,639.16 : 18,956.58 = 3,403 : x
  2. Step 2: Convert to fraction form
    12,639.16/18,956.58 = 3,403/x
  3. Step 3: Cross multiply
    12,639.16x = 18,956.58 × 3,403
  4. Step 4: Simplify right side
    12,639.16x = 64,509,241.74
  5. Step 5: Solve for x
    x = 64,509,241.74/12,639.16
  6. Step 6: Final answer
    x = 5,103.92

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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.