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Finding the Fourth Proportional to 6,388.44, 9,564.12 and 3,915.78

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Solution

The fourth proportional to 6,388.44, 9,564.12 and 3,915.78 is: 5,862.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.44 : 9,564.12 = 3,915.78 : x
  2. Step 2: Convert to fraction form
    6,388.44/9,564.12 = 3,915.78/x
  3. Step 3: Cross multiply
    6,388.44x = 9,564.12 × 3,915.78
  4. Step 4: Simplify right side
    6,388.44x = 37,450,989.81
  5. Step 5: Solve for x
    x = 37,450,989.81/6,388.44
  6. Step 6: Final answer
    x = 5,862.31

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1.5x scale

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.