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Finding the Fourth Proportional to 8,598.24, 12,900.60 and 3,978

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Solution

The fourth proportional to 8,598.24, 12,900.60 and 3,978 is: 5,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,598.24 : 12,900.60 = 3,978 : x
  2. Step 2: Convert to fraction form
    8,598.24/12,900.60 = 3,978/x
  3. Step 3: Cross multiply
    8,598.24x = 12,900.60 × 3,978
  4. Step 4: Simplify right side
    8,598.24x = 51,318,586.80
  5. Step 5: Solve for x
    x = 51,318,586.80/8,598.24
  6. Step 6: Final answer
    x = 5,968.50

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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.