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Finding the Fourth Proportional to 9,478, 14,222.12 and 4,614

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Solution

The fourth proportional to 9,478, 14,222.12 and 4,614 is: 6,923.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478 : 14,222.12 = 4,614 : x
  2. Step 2: Convert to fraction form
    9,478/14,222.12 = 4,614/x
  3. Step 3: Cross multiply
    9,478x = 14,222.12 × 4,614
  4. Step 4: Simplify right side
    9,478x = 65,620,861.68
  5. Step 5: Solve for x
    x = 65,620,861.68/9,478
  6. Step 6: Final answer
    x = 6,923.49

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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.