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Finding the Fourth Proportional to 7,641, 11,463.42 and 2,169

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Solution

The fourth proportional to 7,641, 11,463.42 and 2,169 is: 3,254.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641 : 11,463.42 = 2,169 : x
  2. Step 2: Convert to fraction form
    7,641/11,463.42 = 2,169/x
  3. Step 3: Cross multiply
    7,641x = 11,463.42 × 2,169
  4. Step 4: Simplify right side
    7,641x = 24,864,157.98
  5. Step 5: Solve for x
    x = 24,864,157.98/7,641
  6. Step 6: Final answer
    x = 3,254.05

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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.