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Finding the Fourth Proportional to 7,641, 11,462.04 and 3,024

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Solution

The fourth proportional to 7,641, 11,462.04 and 3,024 is: 4,536.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641 : 11,462.04 = 3,024 : x
  2. Step 2: Convert to fraction form
    7,641/11,462.04 = 3,024/x
  3. Step 3: Cross multiply
    7,641x = 11,462.04 × 3,024
  4. Step 4: Simplify right side
    7,641x = 34,661,208.96
  5. Step 5: Solve for x
    x = 34,661,208.96/7,641
  6. Step 6: Final answer
    x = 4,536.21

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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.