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Finding the Fourth Proportional to 9,489, 14,239.98 and 3,333

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Solution

The fourth proportional to 9,489, 14,239.98 and 3,333 is: 5,001.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489 : 14,239.98 = 3,333 : x
  2. Step 2: Convert to fraction form
    9,489/14,239.98 = 3,333/x
  3. Step 3: Cross multiply
    9,489x = 14,239.98 × 3,333
  4. Step 4: Simplify right side
    9,489x = 47,461,853.34
  5. Step 5: Solve for x
    x = 47,461,853.34/9,489
  6. Step 6: Final answer
    x = 5,001.78

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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.