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Finding the Fourth Proportional to 7,642, 10,546.12 and 4,330

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Solution

The fourth proportional to 7,642, 10,546.12 and 4,330 is: 5,975.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642 : 10,546.12 = 4,330 : x
  2. Step 2: Convert to fraction form
    7,642/10,546.12 = 4,330/x
  3. Step 3: Cross multiply
    7,642x = 10,546.12 × 4,330
  4. Step 4: Simplify right side
    7,642x = 45,664,699.60
  5. Step 5: Solve for x
    x = 45,664,699.60/7,642
  6. Step 6: Final answer
    x = 5,975.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.