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Finding the Fourth Proportional to 8,602.01, 12,902.53 and 2,361.90

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Solution

The fourth proportional to 8,602.01, 12,902.53 and 2,361.90 is: 3,542.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.01 : 12,902.53 = 2,361.90 : x
  2. Step 2: Convert to fraction form
    8,602.01/12,902.53 = 2,361.90/x
  3. Step 3: Cross multiply
    8,602.01x = 12,902.53 × 2,361.90
  4. Step 4: Simplify right side
    8,602.01x = 30,474,485.61
  5. Step 5: Solve for x
    x = 30,474,485.61/8,602.01
  6. Step 6: Final answer
    x = 3,542.72

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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.