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Finding the Fourth Proportional to 6,610.84, 9,915.40 and 3,839

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Solution

The fourth proportional to 6,610.84, 9,915.40 and 3,839 is: 5,758.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,610.84 : 9,915.40 = 3,839 : x
  2. Step 2: Convert to fraction form
    6,610.84/9,915.40 = 3,839/x
  3. Step 3: Cross multiply
    6,610.84x = 9,915.40 × 3,839
  4. Step 4: Simplify right side
    6,610.84x = 38,065,220.60
  5. Step 5: Solve for x
    x = 38,065,220.60/6,610.84
  6. Step 6: Final answer
    x = 5,758.00

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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.