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Finding the Fourth Proportional to 12,386.18, 18,581.09 and 5,813.03

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Solution

The fourth proportional to 12,386.18, 18,581.09 and 5,813.03 is: 8,720.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386.18 : 18,581.09 = 5,813.03 : x
  2. Step 2: Convert to fraction form
    12,386.18/18,581.09 = 5,813.03/x
  3. Step 3: Cross multiply
    12,386.18x = 18,581.09 × 5,813.03
  4. Step 4: Simplify right side
    12,386.18x = 108,012,433.60
  5. Step 5: Solve for x
    x = 108,012,433.60/12,386.18
  6. Step 6: Final answer
    x = 8,720.40

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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.