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Finding the Fourth Proportional to 6,361.02, 9,541.41 and 1,978.47

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Solution

The fourth proportional to 6,361.02, 9,541.41 and 1,978.47 is: 2,967.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.02 : 9,541.41 = 1,978.47 : x
  2. Step 2: Convert to fraction form
    6,361.02/9,541.41 = 1,978.47/x
  3. Step 3: Cross multiply
    6,361.02x = 9,541.41 × 1,978.47
  4. Step 4: Simplify right side
    6,361.02x = 18,877,393.44
  5. Step 5: Solve for x
    x = 18,877,393.44/6,361.02
  6. Step 6: Final answer
    x = 2,967.67

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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.