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Finding the Fourth Proportional to 11,903.62, 17,853.40 and 3,138.62

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Solution

The fourth proportional to 11,903.62, 17,853.40 and 3,138.62 is: 4,707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,903.62 : 17,853.40 = 3,138.62 : x
  2. Step 2: Convert to fraction form
    11,903.62/17,853.40 = 3,138.62/x
  3. Step 3: Cross multiply
    11,903.62x = 17,853.40 × 3,138.62
  4. Step 4: Simplify right side
    11,903.62x = 56,035,038.31
  5. Step 5: Solve for x
    x = 56,035,038.31/11,903.62
  6. Step 6: Final answer
    x = 4,707.39

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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.