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Finding the Fourth Proportional to 8,145.40, 12,218 and 2,598.68

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Solution

The fourth proportional to 8,145.40, 12,218 and 2,598.68 is: 3,897.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.40 : 12,218 = 2,598.68 : x
  2. Step 2: Convert to fraction form
    8,145.40/12,218 = 2,598.68/x
  3. Step 3: Cross multiply
    8,145.40x = 12,218 × 2,598.68
  4. Step 4: Simplify right side
    8,145.40x = 31,750,672.24
  5. Step 5: Solve for x
    x = 31,750,672.24/8,145.40
  6. Step 6: Final answer
    x = 3,897.99

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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.