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Finding the Fourth Proportional to 12,354.54, 18,531.65 and 2,994.64

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Solution

The fourth proportional to 12,354.54, 18,531.65 and 2,994.64 is: 4,491.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,354.54 : 18,531.65 = 2,994.64 : x
  2. Step 2: Convert to fraction form
    12,354.54/18,531.65 = 2,994.64/x
  3. Step 3: Cross multiply
    12,354.54x = 18,531.65 × 2,994.64
  4. Step 4: Simplify right side
    12,354.54x = 55,495,668.91
  5. Step 5: Solve for x
    x = 55,495,668.91/12,354.54
  6. Step 6: Final answer
    x = 4,491.92

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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.