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Finding the Fourth Proportional to 12,336, 18,507.20 and 4,017.44

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Solution

The fourth proportional to 12,336, 18,507.20 and 4,017.44 is: 6,027.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,336 : 18,507.20 = 4,017.44 : x
  2. Step 2: Convert to fraction form
    12,336/18,507.20 = 4,017.44/x
  3. Step 3: Cross multiply
    12,336x = 18,507.20 × 4,017.44
  4. Step 4: Simplify right side
    12,336x = 74,351,565.57
  5. Step 5: Solve for x
    x = 74,351,565.57/12,336
  6. Step 6: Final answer
    x = 6,027.20

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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.