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Finding the Fourth Proportional to 12,159, 18,240.90 and 3,840.30

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Solution

The fourth proportional to 12,159, 18,240.90 and 3,840.30 is: 5,761.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159 : 18,240.90 = 3,840.30 : x
  2. Step 2: Convert to fraction form
    12,159/18,240.90 = 3,840.30/x
  3. Step 3: Cross multiply
    12,159x = 18,240.90 × 3,840.30
  4. Step 4: Simplify right side
    12,159x = 70,050,528.27
  5. Step 5: Solve for x
    x = 70,050,528.27/12,159
  6. Step 6: Final answer
    x = 5,761.21

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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.