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Finding the Fourth Proportional to 8,462, 12,698.12 and 3,598

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Solution

The fourth proportional to 8,462, 12,698.12 and 3,598 is: 5,399.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462 : 12,698.12 = 3,598 : x
  2. Step 2: Convert to fraction form
    8,462/12,698.12 = 3,598/x
  3. Step 3: Cross multiply
    8,462x = 12,698.12 × 3,598
  4. Step 4: Simplify right side
    8,462x = 45,687,835.76
  5. Step 5: Solve for x
    x = 45,687,835.76/8,462
  6. Step 6: Final answer
    x = 5,399.18

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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.