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Finding the Fourth Proportional to 12,477.10, 18,731.94 and 8,343.64

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Solution

The fourth proportional to 12,477.10, 18,731.94 and 8,343.64 is: 12,526.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.10 : 18,731.94 = 8,343.64 : x
  2. Step 2: Convert to fraction form
    12,477.10/18,731.94 = 8,343.64/x
  3. Step 3: Cross multiply
    12,477.10x = 18,731.94 × 8,343.64
  4. Step 4: Simplify right side
    12,477.10x = 156,292,563.86
  5. Step 5: Solve for x
    x = 156,292,563.86/12,477.10
  6. Step 6: Final answer
    x = 12,526.35

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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.