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Finding the Fourth Proportional to 12,256.40, 18,393.87 and 8,978.02

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Solution

The fourth proportional to 12,256.40, 18,393.87 and 8,978.02 is: 13,473.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,256.40 : 18,393.87 = 8,978.02 : x
  2. Step 2: Convert to fraction form
    12,256.40/18,393.87 = 8,978.02/x
  3. Step 3: Cross multiply
    12,256.40x = 18,393.87 × 8,978.02
  4. Step 4: Simplify right side
    12,256.40x = 165,140,440.77
  5. Step 5: Solve for x
    x = 165,140,440.77/12,256.40
  6. Step 6: Final answer
    x = 13,473.81

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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.