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Finding the Fourth Proportional to 10,239.50, 15,361.68 and 3,314

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Solution

The fourth proportional to 10,239.50, 15,361.68 and 3,314 is: 4,971.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,239.50 : 15,361.68 = 3,314 : x
  2. Step 2: Convert to fraction form
    10,239.50/15,361.68 = 3,314/x
  3. Step 3: Cross multiply
    10,239.50x = 15,361.68 × 3,314
  4. Step 4: Simplify right side
    10,239.50x = 50,908,607.52
  5. Step 5: Solve for x
    x = 50,908,607.52/10,239.50
  6. Step 6: Final answer
    x = 4,971.79

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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.