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Finding the Fourth Proportional to 7,643.88, 11,459.32 and 3,482.42

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Solution

The fourth proportional to 7,643.88, 11,459.32 and 3,482.42 is: 5,220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.88 : 11,459.32 = 3,482.42 : x
  2. Step 2: Convert to fraction form
    7,643.88/11,459.32 = 3,482.42/x
  3. Step 3: Cross multiply
    7,643.88x = 11,459.32 × 3,482.42
  4. Step 4: Simplify right side
    7,643.88x = 39,906,099.15
  5. Step 5: Solve for x
    x = 39,906,099.15/7,643.88
  6. Step 6: Final answer
    x = 5,220.66

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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.