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Finding the Fourth Proportional to 8,602.14, 12,903.81 and 3,408

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Solution

The fourth proportional to 8,602.14, 12,903.81 and 3,408 is: 5,112.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.14 : 12,903.81 = 3,408 : x
  2. Step 2: Convert to fraction form
    8,602.14/12,903.81 = 3,408/x
  3. Step 3: Cross multiply
    8,602.14x = 12,903.81 × 3,408
  4. Step 4: Simplify right side
    8,602.14x = 43,976,184.48
  5. Step 5: Solve for x
    x = 43,976,184.48/8,602.14
  6. Step 6: Final answer
    x = 5,112.24

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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.