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Finding the Fourth Proportional to 23,986.20, 35,978.16 and 8,402.64

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Solution

The fourth proportional to 23,986.20, 35,978.16 and 8,402.64 is: 12,603.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,986.20 : 35,978.16 = 8,402.64 : x
  2. Step 2: Convert to fraction form
    23,986.20/35,978.16 = 8,402.64/x
  3. Step 3: Cross multiply
    23,986.20x = 35,978.16 × 8,402.64
  4. Step 4: Simplify right side
    23,986.20x = 302,311,526.34
  5. Step 5: Solve for x
    x = 302,311,526.34/23,986.20
  6. Step 6: Final answer
    x = 12,603.56

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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.