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Finding the Fourth Proportional to 9,180, 13,761.72 and 3,335.40

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Solution

The fourth proportional to 9,180, 13,761.72 and 3,335.40 is: 5,000.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180 : 13,761.72 = 3,335.40 : x
  2. Step 2: Convert to fraction form
    9,180/13,761.72 = 3,335.40/x
  3. Step 3: Cross multiply
    9,180x = 13,761.72 × 3,335.40
  4. Step 4: Simplify right side
    9,180x = 45,900,840.89
  5. Step 5: Solve for x
    x = 45,900,840.89/9,180
  6. Step 6: Final answer
    x = 5,000.09

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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.