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Finding the Fourth Proportional to 13,381.22, 18,466.25 and 7,413

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Solution

The fourth proportional to 13,381.22, 18,466.25 and 7,413 is: 10,230.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.22 : 18,466.25 = 7,413 : x
  2. Step 2: Convert to fraction form
    13,381.22/18,466.25 = 7,413/x
  3. Step 3: Cross multiply
    13,381.22x = 18,466.25 × 7,413
  4. Step 4: Simplify right side
    13,381.22x = 136,890,274.19
  5. Step 5: Solve for x
    x = 136,890,274.19/13,381.22
  6. Step 6: Final answer
    x = 10,230.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.