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Finding the Fourth Proportional to 8,381.93, 12,580.20 and 3,455.10

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Solution

The fourth proportional to 8,381.93, 12,580.20 and 3,455.10 is: 5,185.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.93 : 12,580.20 = 3,455.10 : x
  2. Step 2: Convert to fraction form
    8,381.93/12,580.20 = 3,455.10/x
  3. Step 3: Cross multiply
    8,381.93x = 12,580.20 × 3,455.10
  4. Step 4: Simplify right side
    8,381.93x = 43,465,849.02
  5. Step 5: Solve for x
    x = 43,465,849.02/8,381.93
  6. Step 6: Final answer
    x = 5,185.66

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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.